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231222491136 = 2113471317253
BaseRepresentation
bin1101011101010111101…
…1110011100000000000
3211002211021220120110000
43113111323303200000
512242020424204021
6254115552240000
722463623513650
oct3272573634000
9732737816400
10231222491136
118a07408298a
123898bb40000
1318a5ba519c0
14b296a32360
15603457cb26
hex35d5ef3800

231222491136 has 1440 divisors, whose sum is σ = 920003404320. Its totient is φ = 56311676928.

The previous prime is 231222491131. The next prime is 231222491261. The reversal of 231222491136 is 631194222132.

231222491136 is a `hidden beast` number, since 2 + 3 + 12 + 22 + 491 + 136 = 666.

231222491136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 231222491136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231222491131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4362688486 + ... + 4362688538.

It is an arithmetic number, because the mean of its divisors is an integer number (638891253).

Almost surely, 2231222491136 is an apocalyptic number.

231222491136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231222491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460001702160).

231222491136 is an abundant number, since it is smaller than the sum of its proper divisors (688780913184).

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

231222491136 is a wasteful number, since it uses less digits than its factorization.

231222491136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 95 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 231222491136 in words is "two hundred thirty-one billion, two hundred twenty-two million, four hundred ninety-one thousand, one hundred thirty-six".