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230900451840 = 29325171922371
BaseRepresentation
bin1101011100001010111…
…1010100101000000000
3211001222211221021120200
43113002233110220000
512240341003424330
6254024010005200
722452633312612
oct3270257245000
9731884837520
10230900451840
1189a19316003
1238900116800
1318a0a1084c6
14b265d62db2
156016168a60
hex35c2bd4a00

230900451840 has 1440 divisors, whose sum is σ = 945608691456. Its totient is φ = 51774750720.

The previous prime is 230900451797. The next prime is 230900451841. The reversal of 230900451840 is 48154009032.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230900451795 and 230900451804.

It is not an unprimeable number, because it can be changed into a prime (230900451841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3252119005 + ... + 3252119075.

Almost surely, 2230900451840 is an apocalyptic number.

230900451840 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 230900451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472804345728).

230900451840 is an abundant number, since it is smaller than the sum of its proper divisors (714708239616).

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

230900451840 is a wasteful number, since it uses less digits than its factorization.

230900451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 230900451840 in words is "two hundred thirty billion, nine hundred million, four hundred fifty-one thousand, eight hundred forty".