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23231213200 = 2452132401857
BaseRepresentation
bin10101101000101100…
…000010111010010000
32012222000121220110201
4111220230002322100
5340034142310300
614401113304544
71451456024356
oct255054027220
965860556421
1023231213200
119941461358
124604105154
132262c54700
1411a54b77d6
1590e78266a
hex568b02e90

23231213200 has 180 divisors, whose sum is σ = 60657962508. Its totient is φ = 8546304000.

The previous prime is 23231213197. The next prime is 23231213207. The reversal of 23231213200 is 231213232.

It can be written as a sum of positive squares in 18 ways, for example, as 10089800704 + 13141412496 = 100448^2 + 114636^2 .

It is not an unprimeable number, because it can be changed into a prime (23231213207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27107172 + ... + 27108028.

Almost surely, 223231213200 is an apocalyptic number.

23231213200 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 23231213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30328981254).

23231213200 is an abundant number, since it is smaller than the sum of its proper divisors (37426749308).

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

23231213200 is a wasteful number, since it uses less digits than its factorization.

23231213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 23231213200 its reverse (231213232), we get a palindrome (23462426432).

The spelling of 23231213200 in words is "twenty-three billion, two hundred thirty-one million, two hundred thirteen thousand, two hundred".