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231750400 = 285272739
BaseRepresentation
bin11011101000000…
…11101100000000
3121011002010210011
431310003230000
5433312003100
634555114304
75512563100
oct1564035400
9534063704
10231750400
111098a9562
1265742994
1339022c1b
1422ac9200
151552bbba
hexdd03b00

231750400 has 162 divisors, whose sum is σ = 668173380. Its totient is φ = 79349760.

The previous prime is 231750383. The next prime is 231750403. The reversal of 231750400 is 4057132.

It is not an unprimeable number, because it can be changed into a prime (231750403) 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 17 ways as a sum of consecutive naturals, for example, 313231 + ... + 313969.

Almost surely, 2231750400 is an apocalyptic number.

231750400 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 231750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334086690).

231750400 is an abundant number, since it is smaller than the sum of its proper divisors (436422980).

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

231750400 is an equidigital number, since it uses as much as digits as its factorization.

231750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 231750400 is about 15223.3504853564. The cubic root of 231750400 is about 614.2429267887.

The spelling of 231750400 in words is "two hundred thirty-one million, seven hundred fifty thousand, four hundred".