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32226220312740 = 223257117683142601
BaseRepresentation
bin1110101001111010000000…
…11010100000100010100100
311020002210111200222012010200
413110331000122200202210
513210443244400001430
6152312304330350500
76534160532001606
oct724750032404244
9136083450865120
1032226220312740
11a2a507725a093
1237457a7b8b430
1314c9bc52b302c
147d5a863a1176
153ad4280ec460
hex1d4f406a08a4

32226220312740 has 144 divisors (see below), whose sum is σ = 99135970367616. Its totient is φ = 8472082752000.

The previous prime is 32226220312739. The next prime is 32226220312757. The reversal of 32226220312740 is 4721302262223.

32226220312740 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 622 + 0 + 3 + 1 + 27 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32226220312695 and 32226220312704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225917440 + ... + 226060040.

It is an arithmetic number, because the mean of its divisors is an integer number (688444238664).

Almost surely, 232226220312740 is an apocalyptic number.

32226220312740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32226220312740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49567985183808).

32226220312740 is an abundant number, since it is smaller than the sum of its proper divisors (66909750054876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32226220312740 is a wasteful number, since it uses less digits than its factorization.

32226220312740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160370 (or 160365 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 32226220312740 its reverse (4721302262223), we get a palindrome (36947522574963).

The spelling of 32226220312740 in words is "thirty-two trillion, two hundred twenty-six billion, two hundred twenty million, three hundred twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 17683 35366 53049 70732 88415 106098 142601 159147 176830 212196 265245 285202 318294 353660 427803 530490 570404 636588 713005 795735 855606 1060980 1255493 1283409 1426010 1591470 1711212 2139015 2510986 2566818 2852020 3182940 3766479 4278030 5021972 5133636 6277465 6417045 7532958 8556060 10124671 11299437 12554930 12834090 15065916 18832395 20249342 22598874 25109860 25668180 30374013 37664790 40498684 45197748 50623355 56497185 60748026 75329580 91122039 101246710 112994370 121496052 151870065 182244078 202493420 225988740 303740130 364488156 455610195 607480260 911220390 1822440780 2521613483 5043226966 7564840449 10086453932 12608067415 15129680898 22694521347 25216134830 30259361796 37824202245 45389042694 50432269660 75648404490 90778085388 113472606735 151296808980 179034557293 226945213470 358069114586 453890426940 537103671879 716138229172 895172786465 1074207343758 1611311015637 1790345572930 2148414687516 2685518359395 3222622031274 3580691145860 5371036718790 6445244062548 8056555078185 10742073437580 16113110156370 32226220312740