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231223400 = 23525412137
BaseRepresentation
bin11011100100000…
…11000001101000
3121010002100212122
431302003001220
5433143122100
634535530412
75505236462
oct1562030150
9533070778
10231223400
11109579621
1265529a08
1338b9a0a5
14229cd132
1515475985
hexdc83068

231223400 has 48 divisors (see below), whose sum is σ = 538840140. Its totient is φ = 92275200.

The previous prime is 231223387. The next prime is 231223403. The reversal of 231223400 is 4322132.

231223400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 21031396 + 210192004 = 4586^2 + 14498^2 .

It is not an unprimeable number, because it can be changed into a prime (231223403) 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 11 ways as a sum of consecutive naturals, for example, 107132 + ... + 109268.

Almost surely, 2231223400 is an apocalyptic number.

231223400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231223400 is an abundant number, since it is smaller than the sum of its proper divisors (307616740).

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

231223400 is a wasteful number, since it uses less digits than its factorization.

231223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 231223400 is about 15206.0316979809. The cubic root of 231223400 is about 613.7769776442.

Adding to 231223400 its reverse (4322132), we get a palindrome (235545532).

The spelling of 231223400 in words is "two hundred thirty-one million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 541 1082 2137 2164 2705 4274 4328 5410 8548 10685 10820 13525 17096 21370 21640 27050 42740 53425 54100 85480 106850 108200 213700 427400 1156117 2312234 4624468 5780585 9248936 11561170 23122340 28902925 46244680 57805850 115611700 231223400