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226142631 = 331113371583
BaseRepresentation
bin11010111101010…
…10100110100111
3120202112020101000
431132222212213
5430343031011
634235004343
75414115651
oct1536524647
9522466330
10226142631
11106719340
12638996b3
1337b0b610
14220696d1
1514cc0356
hexd7aa9a7

226142631 has 64 divisors (see below), whose sum is σ = 404490240. Its totient is φ = 123016320.

The previous prime is 226142629. The next prime is 226142639. The reversal of 226142631 is 136241622.

226142631 is a `hidden beast` number, since 2 + 26 + 1 + 4 + 2 + 631 = 666.

It is not a de Polignac number, because 226142631 - 21 = 226142629 is a prime.

It is a super-2 number, since 2×2261426312 = 102280979111204322, 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 = 226142595 and 226142604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226142639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142066 + ... + 143648.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2226142631 is an apocalyptic number.

226142631 is a deficient number, since it is larger than the sum of its proper divisors (178347609).

226142631 is a wasteful number, since it uses less digits than its factorization.

226142631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1647 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 226142631 is about 15038.0394666326. The cubic root of 226142631 is about 609.2480486309.

The spelling of 226142631 in words is "two hundred twenty-six million, one hundred forty-two thousand, six hundred thirty-one".

Divisors: 1 3 9 11 13 27 33 37 39 99 111 117 143 297 333 351 407 429 481 999 1221 1287 1443 1583 3663 3861 4329 4749 5291 10989 12987 14247 15873 17413 20579 42741 47619 52239 58571 61737 142857 156717 175713 185211 226369 470151 527139 555633 644281 679107 761423 1581417 1932843 2037321 2284269 5798529 6111963 6852807 8375653 17395587 20558421 25126959 75380877 226142631