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213008264 = 23733711287
BaseRepresentation
bin11001011001000…
…11111110001000
3112211210221101222
430230203332020
5414012231024
633045301212
75164353230
oct1454437610
9484727358
10213008264
11aa268297
125b404808
13351901c1
142040acc0
1513a7885e
hexcb23f88

213008264 has 32 divisors (see below), whose sum is σ = 457841280. Its totient is φ = 91010304.

The previous prime is 213008203. The next prime is 213008273. The reversal of 213008264 is 462800312.

213008264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13229 + ... + 24515.

It is an arithmetic number, because the mean of its divisors is an integer number (14307540).

Almost surely, 2213008264 is an apocalyptic number.

It is an amenable number.

213008264 is an abundant number, since it is smaller than the sum of its proper divisors (244833016).

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

213008264 is a wasteful number, since it uses less digits than its factorization.

213008264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11637 (or 11633 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 213008264 is about 14594.8026365552. The cubic root of 213008264 is about 597.2169854154.

Adding to 213008264 its reverse (462800312), we get a palindrome (675808576).

The spelling of 213008264 in words is "two hundred thirteen million, eight thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 337 674 1348 2359 2696 4718 9436 11287 18872 22574 45148 79009 90296 158018 316036 632072 3803719 7607438 15214876 26626033 30429752 53252066 106504132 213008264