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159220431 = 3361277349
BaseRepresentation
bin10010111110110…
…00001011001111
3102002121020101000
421133120023033
5311230023211
623444351343
73642231336
oct1137301317
9362536330
10159220431
118196a737
12453a5553
1326ca9996
1417208d1d
15dea1656
hex97d82cf

159220431 has 32 divisors (see below), whose sum is σ = 241304000. Its totient is φ = 103731840.

The previous prime is 159220429. The next prime is 159220459. The reversal of 159220431 is 134022951.

159220431 is a `hidden beast` number, since 1 + 5 + 9 + 220 + 431 = 666.

It is not a de Polignac number, because 159220431 - 21 = 159220429 is a prime.

It is a super-2 number, since 2×1592204312 = 50702291295651522, which contains 22 as substring.

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

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 159220431 = 73 + 5423 = 3363 + 4953.

It is a junction number, because it is equal to n+sod(n) for n = 159220395 and 159220404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159220231) 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, 456045 + ... + 456393.

It is an arithmetic number, because the mean of its divisors is an integer number (7540750).

Almost surely, 2159220431 is an apocalyptic number.

159220431 is a deficient number, since it is larger than the sum of its proper divisors (82083569).

159220431 is a wasteful number, since it uses less digits than its factorization.

159220431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 159220431 is about 12618.2578432999. The cubic root of 159220431 is about 542.0003892010. Note that the first 3 decimals are identical.

The spelling of 159220431 in words is "one hundred fifty-nine million, two hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 9 27 61 183 277 349 549 831 1047 1647 2493 3141 7479 9423 16897 21289 50691 63867 96673 152073 191601 290019 456219 574803 870057 2610171 5897053 17691159 53073477 159220431