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23280230400 = 21335275413
BaseRepresentation
bin10101101011100111…
…000010000000000000
32020002102212020102120
4111223213002000000
5340134214333100
614410024044240
71452622456560
oct255347020000
966072766376
1023280230400
1199670a0739
124618603680
13227015767b
1411abbd6da0
15913c160a0
hex56b9c2000

23280230400 has 336 divisors, whose sum is σ = 87987981504. Its totient is φ = 5320212480.

The previous prime is 23280230357. The next prime is 23280230411. The reversal of 23280230400 is 403208232.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4298094 + ... + 4303506.

Almost surely, 223280230400 is an apocalyptic number.

23280230400 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 23280230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43993990752).

23280230400 is an abundant number, since it is smaller than the sum of its proper divisors (64707751104).

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

23280230400 is an equidigital number, since it uses as much as digits as its factorization.

23280230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23280230400 its reverse (403208232), we get a palindrome (23683438632).

The spelling of 23280230400 in words is "twenty-three billion, two hundred eighty million, two hundred thirty thousand, four hundred".