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231044400 = 2435522377
BaseRepresentation
bin11011100010101…
…11010100110000
3121002202021100000
431301113110300
5433121410100
634532030000
75503562556
oct1561272460
9532667300
10231044400
11109467094
1265462300
1338b36782
1422983bd6
151543c900
hexdc57530

231044400 has 180 divisors, whose sum is σ = 831833912. Its totient is φ = 61585920.

The previous prime is 231044377. The next prime is 231044417. The reversal of 231044400 is 4440132.

231044400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96012 + ... + 98388.

Almost surely, 2231044400 is an apocalyptic number.

231044400 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 231044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415916956).

231044400 is an abundant number, since it is smaller than the sum of its proper divisors (600789512).

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

231044400 is a wasteful number, since it uses less digits than its factorization.

231044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 231044400 is about 15200.1447361530. The cubic root of 231044400 is about 613.6185530184.

Adding to 231044400 its reverse (4440132), we get a palindrome (235484532).

The spelling of 231044400 in words is "two hundred thirty-one million, forty-four thousand, four hundred".