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22524214401 = 341321390517
BaseRepresentation
bin10100111110100011…
…000011110010000001
32011010202021122110000
4110332203003302001
5332112144330101
614203020030213
71425112443363
oct247643036201
964122248400
1022524214401
119609371727
124447392369
13217c634820
14113963ad33
158bc67b486
hex53e8c3c81

22524214401 has 20 divisors (see below), whose sum is σ = 36235537492. Its totient is φ = 13861054368.

The previous prime is 22524214399. The next prime is 22524214409. The reversal of 22524214401 is 10441242522.

It is a happy number.

22524214401 is a `hidden beast` number, since 2 + 2 + 5 + 242 + 14 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2136658176 + 20387556225 = 46224^2 + 142785^2 .

It is not a de Polignac number, because 22524214401 - 21 = 22524214399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22524214409) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10694206 + ... + 10696311.

Almost surely, 222524214401 is an apocalyptic number.

It is an amenable number.

22524214401 is a deficient number, since it is larger than the sum of its proper divisors (13711323091).

22524214401 is a wasteful number, since it uses less digits than its factorization.

22524214401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21390542 (or 21390533 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 22524214401 its reverse (10441242522), we get a palindrome (32965456923).

The spelling of 22524214401 in words is "twenty-two billion, five hundred twenty-four million, two hundred fourteen thousand, four hundred one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 21390517 64171551 192514653 278076721 577543959 834230163 1732631877 2502690489 7508071467 22524214401