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2272864 = 25112587
BaseRepresentation
bin1000101010111001100000
311021110210011
420222321200
51040212424
6120414304
725214266
oct10527140
94243704
102272864
111312700
12917394
136176b9
14432436
152ed694
hex22ae60

2272864 has 36 divisors (see below), whose sum is σ = 4926852. Its totient is φ = 1031360.

The previous prime is 2272861. The next prime is 2272903. The reversal of 2272864 is 4682722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272861) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3579 + ... + 4165.

It is an arithmetic number, because the mean of its divisors is an integer number (136857).

22272864 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 2272864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463426).

2272864 is an abundant number, since it is smaller than the sum of its proper divisors (2653988).

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

2272864 is a wasteful number, since it uses less digits than its factorization.

2272864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 600 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 2272864 is about 1507.6020695130. The cubic root of 2272864 is about 131.4794312116.

It can be divided in two parts, 2272 and 864, that added together give a square (3136 = 562).

The spelling of 2272864 in words is "two million, two hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 587 968 1174 1936 2348 3872 4696 6457 9392 12914 18784 25828 51656 71027 103312 142054 206624 284108 568216 1136432 2272864