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22409423829 = 3213220697121
BaseRepresentation
bin10100110111101101…
…001010101111010101
32010211202021200101100
4110313231022233111
5331343303030304
614143355420313
71422216650112
oct246755125725
963752250340
1022409423829
11955a598891
124414a54699
132161912b00
1411282b9909
158b2554439
hex537b4abd5

22409423829 has 36 divisors (see below), whose sum is σ = 35072502660. Its totient is φ = 13781813760.

The previous prime is 22409423789. The next prime is 22409423843. The reversal of 22409423829 is 92832490422.

22409423829 is a `hidden beast` number, since 2 + 2 + 409 + 4 + 238 + 2 + 9 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13685490225 + 8723933604 = 116985^2 + 93402^2 .

It is not a de Polignac number, because 22409423829 - 28 = 22409423573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22409423849) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3143389 + ... + 3150509.

It is an arithmetic number, because the mean of its divisors is an integer number (974236185).

Almost surely, 222409423829 is an apocalyptic number.

It is an amenable number.

22409423829 is a deficient number, since it is larger than the sum of its proper divisors (12663078831).

22409423829 is a wasteful number, since it uses less digits than its factorization.

22409423829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222 (or 9206 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 22409423829 in words is "twenty-two billion, four hundred nine million, four hundred twenty-three thousand, eight hundred twenty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 2069 6207 7121 18621 21363 26897 64089 80691 92573 242073 277719 349661 833157 1048983 1203449 3146949 3610347 10831041 14733349 44200047 132600141 191533537 574600611 1723801833 2489935981 7469807943 22409423829