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22140421320 = 23357112312111
BaseRepresentation
bin10100100111101011…
…000000010011001000
32010011000002221022110
4110213223000103020
5330320421440240
614100550022320
71412442322203
oct244753002310
963130087273
1022140421320
119431766266
12435a9479a0
13211ac79024
14110069493a
15898b19c80
hex527ac04c8

22140421320 has 128 divisors (see below), whose sum is σ = 67443425280. Its totient is φ = 5813472000.

The previous prime is 22140421313. The next prime is 22140421321. The reversal of 22140421320 is 2312404122.

It is a super-2 number, since 2×221404213202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22140421321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10487065 + ... + 10489175.

It is an arithmetic number, because the mean of its divisors is an integer number (526901760).

Almost surely, 222140421320 is an apocalyptic number.

22140421320 is a gapful number since it is divisible by the number (20) 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 22140421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33721712640).

22140421320 is an abundant number, since it is smaller than the sum of its proper divisors (45303003960).

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

22140421320 is a wasteful number, since it uses less digits than its factorization.

22140421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22140421320 its reverse (2312404122), we get a palindrome (24452825442).

The spelling of 22140421320 in words is "twenty-two billion, one hundred forty million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1231 1420 1704 2111 2130 2462 2840 3693 4222 4260 4924 6155 6333 7386 8444 8520 9848 10555 12310 12666 14772 16888 18465 21110 24620 25332 29544 31665 36930 42220 49240 50664 63330 73860 84440 87401 126660 147720 149881 174802 253320 262203 299762 349604 437005 449643 524406 599524 699208 749405 874010 899286 1048812 1199048 1311015 1498810 1748020 1798572 2097624 2248215 2598641 2622030 2997620 3496040 3597144 4496430 5197282 5244060 5995240 7795923 8992860 10394564 10488120 12993205 15591846 17985720 20789128 25986410 31183692 38979615 51972820 62367384 77959230 103945640 155918460 184503511 311836920 369007022 553510533 738014044 922517555 1107021066 1476028088 1845035110 2214042132 2767552665 3690070220 4428084264 5535105330 7380140440 11070210660 22140421320