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22400134431401 = 1729691540712161
BaseRepresentation
bin1010001011111011100000…
…00011100100001010101001
32221022102122212211112211102
411011331300003210022221
510414000433403301101
6115350251340411145
74501233133046156
oct505756003441251
987272585745742
1022400134431401
117156930a09551
122619367846ab5
13c66428c93c3c
1457625aaa522d
1528ca2b46386b
hex145f700e42a9

22400134431401 has 32 divisors (see below), whose sum is σ = 24577716833280. Its totient is φ = 20320609075200.

The previous prime is 22400134431361. The next prime is 22400134431443. The reversal of 22400134431401 is 10413443100422.

It is not a de Polignac number, because 22400134431401 - 222 = 22400130237097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22400134491401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1841958761 + ... + 1841970921.

It is an arithmetic number, because the mean of its divisors is an integer number (768053651040).

Almost surely, 222400134431401 is an apocalyptic number.

It is an amenable number.

22400134431401 is a deficient number, since it is larger than the sum of its proper divisors (2177582401879).

22400134431401 is a wasteful number, since it uses less digits than its factorization.

22400134431401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18305.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 22400134431401 its reverse (10413443100422), we get a palindrome (32813577531823).

The spelling of 22400134431401 in words is "twenty-two trillion, four hundred billion, one hundred thirty-four million, four hundred thirty-one thousand, four hundred one".

Divisors: 1 17 29 493 691 5407 11747 12161 20039 91919 156803 206737 340663 352669 2665651 3736237 5995373 8403251 63516029 65754527 108350873 142855267 243694279 1117826959 1841964841 1906881283 4142802743 32416981811 45436378157 772418428669 1317654966553 22400134431401