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221440134432 = 25311533956549
BaseRepresentation
bin1100111000111011011…
…1000100110100100000
3210011120112200100210110
43032032313010310200
512112002133300212
6245421142331320
721666331041366
oct3161667046440
9704515610713
10221440134432
1185a04201570
1236abba29b40
1317b6018835a
14aa09765636
155b60861a3c
hex338edc4d20

221440134432 has 96 divisors (see below), whose sum is σ = 646088788800. Its totient is φ = 65836958720.

The previous prime is 221440134431. The next prime is 221440134457. The reversal of 221440134432 is 234431044122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 221440134432.

It is not an unprimeable number, because it can be changed into a prime (221440134431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1922307 + ... + 2034242.

It is an arithmetic number, because the mean of its divisors is an integer number (6730091550).

Almost surely, 2221440134432 is an apocalyptic number.

221440134432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221440134432 is an abundant number, since it is smaller than the sum of its proper divisors (424648654368).

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

221440134432 is a wasteful number, since it uses less digits than its factorization.

221440134432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956626 (or 3956618 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 221440134432 its reverse (234431044122), we get a palindrome (455871178554).

The spelling of 221440134432 in words is "two hundred twenty-one billion, four hundred forty million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1056 1166 1272 1696 1749 2332 2544 3498 4664 5088 6996 9328 13992 18656 27984 55968 3956549 7913098 11869647 15826196 23739294 31652392 43522039 47478588 63304784 87044078 94957176 126609568 130566117 174088156 189914352 209697097 261132234 348176312 379828704 419394194 522264468 629091291 696352624 838788388 1044528936 1258182582 1392705248 1677576776 2089057872 2306668067 2516365164 3355153552 4178115744 4613336134 5032730328 6710307104 6920004201 9226672268 10065460656 13840008402 18453344536 20130921312 27680016804 36906689072 55360033608 73813378144 110720067216 221440134432