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22002132501200 = 2452149369163297
BaseRepresentation
bin1010000000010110001010…
…10010101100001011010000
32212220101100102222122022202
411000023011102230023100
510340440331410014300
6114443350134022332
74430413232340425
oct500130522541320
985811312878282
1022002132501200
117013063225605
1225741b17a79a8
13c37a3b5a5527
14560ca2017d4c
152824d519aad5
hex1402c54ac2d0

22002132501200 has 60 divisors (see below), whose sum is σ = 53214889406700. Its totient is φ = 8741786849280.

The previous prime is 22002132501199. The next prime is 22002132501211. The reversal of 22002132501200 is 210523120022.

It can be written as a sum of positive squares in 6 ways, for example, as 7604600430736 + 14397532070464 = 2757644^2 + 3794408^2 .

It is a super-2 number, since 2×220021325012002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184522049 + ... + 184641248.

It is an arithmetic number, because the mean of its divisors is an integer number (886914823445).

Almost surely, 222002132501200 is an apocalyptic number.

22002132501200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002132501200 is an abundant number, since it is smaller than the sum of its proper divisors (31212756905500).

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

22002132501200 is a wasteful number, since it uses less digits than its factorization.

22002132501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369163464 (or 369163453 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 22002132501200 its reverse (210523120022), we get a palindrome (22212655621222).

The spelling of 22002132501200 in words is "twenty-two trillion, two billion, one hundred thirty-two million, five hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 1192 1490 2384 2980 3725 5960 7450 11920 14900 29800 59600 369163297 738326594 1476653188 1845816485 2953306376 3691632970 5906612752 7383265940 9229082425 14766531880 18458164850 29533063760 36916329700 55005331253 73832659400 110010662506 147665318800 220021325012 275026656265 440042650024 550053312530 880085300048 1100106625060 1375133281325 2200213250120 2750266562650 4400426500240 5500533125300 11001066250600 22002132501200