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22046454072 = 23331941131023
BaseRepresentation
bin10100100010000100…
…100011000100111000
32002220110021220111000
4110202010203010320
5330122343012242
614043352005000
71410221524206
oct244204430470
962813256430
1022046454072
119393715285
124333390760
1321046683c6
1410d1dd4076
15890757a4c
hex522123138

22046454072 has 128 divisors (see below), whose sum is σ = 66036096000. Its totient is φ = 6792180480.

The previous prime is 22046454041. The next prime is 22046454137. The reversal of 22046454072 is 27045464022.

22046454072 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 645 + 4 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×220464540722 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102753 + ... + 233775.

It is an arithmetic number, because the mean of its divisors is an integer number (515907000).

Almost surely, 222046454072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22046454072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33018048000).

22046454072 is an abundant number, since it is smaller than the sum of its proper divisors (43989641928).

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

22046454072 is a wasteful number, since it uses less digits than its factorization.

22046454072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131098 (or 131088 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 22046454072 in words is "twenty-two billion, forty-six million, four hundred fifty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 41 54 57 72 76 82 108 114 123 152 164 171 216 228 246 328 342 369 456 492 513 684 738 779 984 1026 1107 1368 1476 1558 2052 2214 2337 2952 3116 4104 4428 4674 6232 7011 8856 9348 14022 18696 21033 28044 42066 56088 84132 131023 168264 262046 393069 524092 786138 1048184 1179207 1572276 2358414 2489437 3144552 3537621 4716828 4978874 5371943 7075242 7468311 9433656 9957748 10743886 14150484 14936622 16115829 19915496 21487772 22404933 28300968 29873244 32231658 42975544 44809866 48347487 59746488 64463316 67214799 89619732 96694974 102066917 128926632 134429598 145042461 179239464 193389948 204133834 268859196 290084922 306200751 386779896 408267668 537718392 580169844 612401502 816535336 918602253 1160339688 1224803004 1837204506 2449606008 2755806759 3674409012 5511613518 7348818024 11023227036 22046454072