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22064198940 = 22325740143669
BaseRepresentation
bin10100100011001000…
…001111010100011100
32002221200200102212100
4110203020033110130
5330141413331230
614045224205100
71410525411420
oct244310172434
962850612770
1022064198940
1193a2735263
124339309790
13210823c224
1410d44d2b80
158920b0660
hex52320f51c

22064198940 has 144 divisors (see below), whose sum is σ = 76681725120. Its totient is φ = 5030553600.

The previous prime is 22064198929. The next prime is 22064198953. The reversal of 22064198940 is 4989146022.

22064198940 is a `hidden beast` number, since 220 + 6 + 419 + 8 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 483426 + ... + 527094.

It is an arithmetic number, because the mean of its divisors is an integer number (532511980).

Almost surely, 222064198940 is an apocalyptic number.

22064198940 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 22064198940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38340862560).

22064198940 is an abundant number, since it is smaller than the sum of its proper divisors (54617526180).

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

22064198940 is a wasteful number, since it uses less digits than its factorization.

22064198940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44092 (or 44087 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 22064198940 in words is "twenty-two billion, sixty-four million, one hundred ninety-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 401 420 630 802 1203 1260 1604 2005 2406 2807 3609 4010 4812 5614 6015 7218 8020 8421 11228 12030 14035 14436 16842 18045 24060 25263 28070 33684 36090 42105 43669 50526 56140 72180 84210 87338 101052 126315 131007 168420 174676 218345 252630 262014 305683 393021 436690 505260 524028 611366 655035 786042 873380 917049 1222732 1310070 1528415 1572084 1834098 1965105 2620140 2751147 3056830 3668196 3930210 4585245 5502294 6113660 7860420 9170490 11004588 13755735 17511269 18340980 27511470 35022538 52533807 55022940 70045076 87556345 105067614 122578883 157601421 175112690 210135228 245157766 262669035 315202842 350225380 367736649 490315532 525338070 612894415 630405684 735473298 788007105 1050676140 1103209947 1225788830 1470946596 1576014210 1838683245 2206419894 2451577660 3152028420 3677366490 4412839788 5516049735 7354732980 11032099470 22064198940