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22043404414100 = 22524125693209257
BaseRepresentation
bin1010000001100011000010…
…10010100010110010010100
32220001022212202101001022102
411000301201102202302110
510342124343012222400
6114514333350221232
74433404052661206
oct500614122426224
986038782331272
1022043404414100
117029612137633
1225801ab654818
13c3b8b800a674
14562c994b4776
152835ed6759d5
hex140c614a2c94

22043404414100 has 72 divisors (see below), whose sum is σ = 49003016423928. Its totient is φ = 8601928243200.

The previous prime is 22043404414063. The next prime is 22043404414103. The reversal of 22043404414100 is 141440434022.

It can be written as a sum of positive squares in 12 ways, for example, as 9688938642436 + 12354465771664 = 3112706^2 + 3514892^2 .

It is a super-4 number, since 4×220434044141004 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22043404414103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105236672 + ... + 105445928.

Almost surely, 222043404414100 is an apocalyptic number.

22043404414100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22043404414100 is an abundant number, since it is smaller than the sum of its proper divisors (26959612009828).

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

22043404414100 is a wasteful number, since it uses less digits than its factorization.

22043404414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235005 (or 234998 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 22043404414100 its reverse (141440434022), we get a palindrome (22184844848122).

The spelling of 22043404414100 in words is "twenty-two trillion, forty-three billion, four hundred four million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 25693 51386 102772 128465 209257 256930 418514 513860 642325 837028 1046285 1053413 1284650 2092570 2106826 2569300 4185140 4213652 5231425 5267065 8579537 10462850 10534130 17159074 20925700 21068260 26335325 34318148 42897685 52670650 85795370 105341300 171590740 214488425 428976850 857953700 5376440101 10752880202 21505760404 26882200505 53764401010 107528802020 134411002525 220434044141 268822005050 440868088282 537644010100 881736176564 1102170220705 2204340441410 4408680882820 5510851103525 11021702207050 22043404414100