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213695808 = 26310910211
BaseRepresentation
bin11001011110010…
…11110101000000
3112220002212112120
430233023311000
5414201231213
633112124240
75203245564
oct1457136500
9486085476
10213695808
11aa697907
125b696680
1335371131
14205496a4
1513b62423
hexcbcbd40

213695808 has 56 divisors (see below), whose sum is σ = 570646560. Its totient is φ = 70571520.

The previous prime is 213695789. The next prime is 213695819. The reversal of 213695808 is 808596312.

213695808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213695808.

It is a congruent number.

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, 15823 + ... + 26033.

Almost surely, 2213695808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213695808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285323280).

213695808 is an abundant number, since it is smaller than the sum of its proper divisors (356950752).

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

213695808 is a wasteful number, since it uses less digits than its factorization.

213695808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10335 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 213695808 is about 14618.3380724349. The cubic root of 213695808 is about 597.8588571567.

The spelling of 213695808 in words is "two hundred thirteen million, six hundred ninety-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 1308 1744 2616 3488 5232 6976 10211 10464 20422 20928 30633 40844 61266 81688 122532 163376 245064 326752 490128 653504 980256 1112999 1960512 2225998 3338997 4451996 6677994 8903992 13355988 17807984 26711976 35615968 53423952 71231936 106847904 213695808