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231222848 = 26174612
BaseRepresentation
bin11011100100000…
…10111001000000
3121010002100010012
431302002321000
5433143112343
634535524052
75505235043
oct1562027100
9533070105
10231222848
1110957916a
1265529628
1338b99a6c
14229ccc5a
1515475718
hexdc82e40

231222848 has 42 divisors (see below), whose sum is σ = 486879138. Its totient is φ = 108574720.

The previous prime is 231222847. The next prime is 231222857. The reversal of 231222848 is 848222132.

It can be written as a sum of positive squares in 3 ways, for example, as 28217344 + 203005504 = 5312^2 + 14248^2 .

It is a super-2 number, since 2×2312228482 = 106928010874462208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (231222847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501338 + ... + 501798.

Almost surely, 2231222848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243439569).

231222848 is an abundant number, since it is smaller than the sum of its proper divisors (255656290).

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

231222848 is an frugal number, since it uses more digits than its factorization.

231222848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 480 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 231222848 is about 15206.0135472779. The cubic root of 231222848 is about 613.7764892203.

The spelling of 231222848 in words is "two hundred thirty-one million, two hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 461 544 922 1088 1844 3688 7376 7837 14752 15674 29504 31348 62696 125392 212521 250784 425042 501568 850084 1700168 3400336 3612857 6800672 7225714 13601344 14451428 28902856 57805712 115611424 231222848