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2256632 = 23759683
BaseRepresentation
bin1000100110111011111000
311020122111222
420212323320
51034203012
6120211212
725116050
oct10467370
94218458
102256632
111301494
12909b08
136101b1
1442a560
152e8972
hex226ef8

2256632 has 32 divisors (see below), whose sum is σ = 4924800. Its totient is φ = 949344.

The previous prime is 2256629. The next prime is 2256637. The reversal of 2256632 is 2366522.

It is a d-powerful number, because it can be written as 24 + 213 + 58 + 62 + 64 + 313 + 218 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2963 + ... + 3645.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

22256632 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 2256632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462400).

2256632 is an abundant number, since it is smaller than the sum of its proper divisors (2668168).

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

2256632 is a wasteful number, since it uses less digits than its factorization.

2256632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 751 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 2256632 is about 1502.2090400474. The cubic root of 2256632 is about 131.1656897691.

The spelling of 2256632 in words is "two million, two hundred fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 683 826 1366 1652 2732 3304 4781 5464 9562 19124 38248 40297 80594 161188 282079 322376 564158 1128316 2256632