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216104704 = 282333623
BaseRepresentation
bin11001110000101…
…11111100000000
3120001122020220221
430320113330000
5420310322304
633235512424
75232600604
oct1470277400
9501566827
10216104704
11100a92732
1260458714
1335a0570a
14209b5504
1513e8b054
hexce17f00

216104704 has 36 divisors (see below), whose sum is σ = 433336176. Its totient is φ = 107558912.

The previous prime is 216104677. The next prime is 216104729. The reversal of 216104704 is 407401612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57837 + ... + 61459.

It is an arithmetic number, because the mean of its divisors is an integer number (12037116).

Almost surely, 2216104704 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 216104704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216668088).

216104704 is an abundant number, since it is smaller than the sum of its proper divisors (217231472).

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

216104704 is an equidigital number, since it uses as much as digits as its factorization.

216104704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 216104704 is about 14700.5001275467. The cubic root of 216104704 is about 600.0969324875.

The spelling of 216104704 in words is "two hundred sixteen million, one hundred four thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 932 1864 3623 3728 7246 7456 14492 14912 28984 29824 57968 59648 115936 231872 463744 844159 927488 1688318 3376636 6753272 13506544 27013088 54026176 108052352 216104704