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231125400 = 233452111297
BaseRepresentation
bin11011100011010…
…11000110011000
3121002220101110000
431301223012120
5433132003100
634533453000
75504350662
oct1561530630
9532811400
10231125400
11109511a30
12654a1160
1338b645bc
14229a5532
1515456900
hexdc6b198

231125400 has 240 divisors, whose sum is σ = 876383640. Its totient is φ = 55987200.

The previous prime is 231125399. The next prime is 231125407. The reversal of 231125400 is 4521132.

231125400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231125407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 177552 + ... + 178848.

Almost surely, 2231125400 is an apocalyptic number.

231125400 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 231125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438191820).

231125400 is an abundant number, since it is smaller than the sum of its proper divisors (645258240).

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

231125400 is a wasteful number, since it uses less digits than its factorization.

231125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 231125400 is about 15202.8089509801. The cubic root of 231125400 is about 613.6902525065.

Adding to 231125400 its reverse (4521132), we get a palindrome (235646532).

The spelling of 231125400 in words is "two hundred thirty-one million, one hundred twenty-five thousand, four hundred".