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216795904 = 281325011
BaseRepresentation
bin11001110110000…
…00101100000000
3120002221101001221
430323000230000
5420444432104
633302404424
75241510013
oct1473005400
9502841057
10216795904
11101414a76
1260730714
1335bb8200
1420b1537a
1514075c54
hexcec0b00

216795904 has 54 divisors (see below), whose sum is σ = 468687156. Its totient is φ = 100039680.

The previous prime is 216795899. The next prime is 216795919. The reversal of 216795904 is 409597612.

It is a happy number.

216795904 is digitally balanced in base 3, 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 5 ways as a sum of consecutive naturals, for example, 40759 + ... + 45769.

Almost surely, 2216795904 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 216795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234343578).

216795904 is an abundant number, since it is smaller than the sum of its proper divisors (251891252).

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

216795904 is an equidigital number, since it uses as much as digits as its factorization.

216795904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 216795904 is about 14723.9907633766. The cubic root of 216795904 is about 600.7360448422.

The spelling of 216795904 in words is "two hundred sixteen million, seven hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5011 5408 10022 10816 20044 21632 40088 43264 65143 80176 130286 160352 260572 320704 521144 641408 846859 1042288 1282816 1693718 2084576 3387436 4169152 6774872 8338304 13549744 16676608 27099488 54198976 108397952 216795904