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231013200 = 243521123743
BaseRepresentation
bin11011100010011…
…11101101010000
3121002200200112110
431301033231100
5433114410300
634531225320
75503402605
oct1561175520
9532620473
10231013200
11109445700
1265448240
1338b25502
14229766ac
1515433550
hexdc4fb50

231013200 has 360 divisors, whose sum is σ = 854813344. Its totient is φ = 53222400.

The previous prime is 231013199. The next prime is 231013247. The reversal of 231013200 is 2310132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5372379 + ... + 5372421.

Almost surely, 2231013200 is an apocalyptic number.

231013200 is a gapful number since it is divisible by the number (20) 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 231013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427406672).

231013200 is an abundant number, since it is smaller than the sum of its proper divisors (623800144).

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

231013200 is a wasteful number, since it uses less digits than its factorization.

231013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 231013200 is about 15199.1183954860. The cubic root of 231013200 is about 613.5909309673.

Adding to 231013200 its reverse (2310132), we get a palindrome (233323332).

Multiplying 231013200 by its reverse (2310132), we get a square (533670985742400 = 231013202).

231013200 divided by its reverse (2310132) gives a square (100 = 102).

The spelling of 231013200 in words is "two hundred thirty-one million, thirteen thousand, two hundred".