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231222222132 = 2231110117343401
BaseRepresentation
bin1101011101010111101…
…0110001110100110100
3211002211021101220102220
43113111322301310310
512242020342102012
6254115542402340
722463621313456
oct3272572616464
9732737356386
10231222222132
118a073a09870
123898ba303b0
1318a5b989425
14b2969a22d6
15603452808c
hex35d5eb1d34

231222222132 has 48 divisors (see below), whose sum is σ = 594393073344. Its totient is φ = 69373600000.

The previous prime is 231222222107. The next prime is 231222222137.

231222222132 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231222222137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8658369 + ... + 8685032.

It is an arithmetic number, because the mean of its divisors is an integer number (12383189028).

Almost surely, 2231222222132 is an apocalyptic number.

231222222132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231222222132 is an abundant number, since it is smaller than the sum of its proper divisors (363170851212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231222222132 is a wasteful number, since it uses less digits than its factorization.

231222222132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17343520 (or 17343518 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

It can be divided in two parts, 231222 and 222132, that added together give a palindrome (453354).

The spelling of 231222222132 in words is "two hundred thirty-one billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 17343401 34686802 52030203 69373604 104060406 190777411 208120812 381554822 572332233 763109644 1144664466 1751683501 2289328932 3503367002 5255050503 7006734004 10510101006 19268518511 21020202012 38537037022 57805555533 77074074044 115611111066 231222222132