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2256335104 = 2835924551
BaseRepresentation
bin1000011001111100…
…1111000100000000
312211020200200212211
42012133033010000
514110110210404
61011521031504
7106625350312
oct20637170400
95736620784
102256335104
11a58707a61
1252b785594
1329c5c743a
141759437b2
15d3148b04
hex867cf100

2256335104 has 36 divisors (see below), whose sum is σ = 4516585920. Its totient is φ = 1124979200.

The previous prime is 2256335099. The next prime is 2256335113. The reversal of 2256335104 is 4015336522.

It is a happy 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, 79629 + ... + 104179.

It is an arithmetic number, because the mean of its divisors is an integer number (125460720).

Almost surely, 22256335104 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 2256335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258292960).

2256335104 is an abundant number, since it is smaller than the sum of its proper divisors (2260250816).

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

2256335104 is an equidigital number, since it uses as much as digits as its factorization.

2256335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24926 (or 24912 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 2256335104 is about 47500.8958231316. The cubic root of 2256335104 is about 1311.5993720266.

The spelling of 2256335104 in words is "two billion, two hundred fifty-six million, three hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 359 718 1436 2872 5744 11488 22976 24551 45952 49102 91904 98204 196408 392816 785632 1571264 3142528 6285056 8813809 17627618 35255236 70510472 141020944 282041888 564083776 1128167552 2256335104