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115226631 = 3413731499
BaseRepresentation
bin1101101111000…
…11100000000111
322000211010020000
412313203200013
5213444223011
615233412343
72566260462
oct667434007
9260733200
10115226631
115a051523
123270a0b3
131ab45350
14114362d9
15a1b1356
hex6de3807

115226631 has 40 divisors (see below), whose sum is σ = 188034000. Its totient is φ = 69890688.

The previous prime is 115226603. The next prime is 115226633. The reversal of 115226631 is 136622511.

115226631 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 26 + 631 = 666.

It is not a de Polignac number, because 115226631 - 211 = 115224583 is a prime.

It is a super-2 number, since 2×1152266312 = 26554352983220322, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 115226595 and 115226604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115226633) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76120 + ... + 77618.

It is an arithmetic number, because the mean of its divisors is an integer number (4700850).

Almost surely, 2115226631 is an apocalyptic number.

115226631 is a deficient number, since it is larger than the sum of its proper divisors (72807369).

115226631 is a wasteful number, since it uses less digits than its factorization.

115226631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1588 counting only the distinct ones).

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

The square root of 115226631 is about 10734.3668187742. The cubic root of 115226631 is about 486.6136509981.

The spelling of 115226631 in words is "one hundred fifteen million, two hundred twenty-six thousand, six hundred thirty-one".

Divisors: 1 3 9 13 27 39 73 81 117 219 351 657 949 1053 1499 1971 2847 4497 5913 8541 13491 19487 25623 40473 58461 76869 109427 121419 175383 328281 526149 984843 1422551 1578447 2954529 4267653 8863587 12802959 38408877 115226631