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231222100 = 225217136013
BaseRepresentation
bin11011100100000…
…10101101010100
3121010002022002111
431302002231110
5433143101400
634535520404
75505232624
oct1562025524
9533068074
10231222100
1110957864a
1265529104
1338b99615
14229cc884
15154753ba
hexdc82b54

231222100 has 36 divisors (see below), whose sum is σ = 531270684. Its totient is φ = 87047680.

The previous prime is 231222097. The next prime is 231222107. The reversal of 231222100 is 1222132.

It can be written as a sum of positive squares in 6 ways, for example, as 2547216 + 228674884 = 1596^2 + 15122^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231222107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66307 + ... + 69706.

It is an arithmetic number, because the mean of its divisors is an integer number (14757519).

Almost surely, 2231222100 is an apocalyptic number.

231222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231222100 is an abundant number, since it is smaller than the sum of its proper divisors (300048584).

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

231222100 is a wasteful number, since it uses less digits than its factorization.

231222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136044 (or 136037 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 231222100 is about 15205.9889517256. The cubic root of 231222100 is about 613.7758273691.

Adding to 231222100 its reverse (1222132), we get a palindrome (232444232).

The spelling of 231222100 in words is "two hundred thirty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 136013 272026 544052 680065 1360130 2312221 2720260 3400325 4624442 6800650 9248884 11561105 13601300 23122210 46244420 57805525 115611050 231222100