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2256630 = 2351937107
BaseRepresentation
bin1000100110111011110110
311020122111220
420212323312
51034203010
6120211210
725116045
oct10467366
94218456
102256630
111301492
12909b06
136101ac
1442a55c
152e8970
hex226ef6

2256630 has 64 divisors (see below), whose sum is σ = 5909760. Its totient is φ = 549504.

The previous prime is 2256629. The next prime is 2256637. The reversal of 2256630 is 366522.

It is a self number, because there is not a number n which added to its sum of digits gives 2256630.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21037 + ... + 21143.

It is an arithmetic number, because the mean of its divisors is an integer number (92340).

22256630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954880).

2256630 is an abundant number, since it is smaller than the sum of its proper divisors (3653130).

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

2256630 is a wasteful number, since it uses less digits than its factorization.

2256630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2256630 is about 1502.2083743609. The cubic root of 2256630 is about 131.1656510194.

The spelling of 2256630 in words is "two million, two hundred fifty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 107 111 114 185 190 214 222 285 321 370 535 555 570 642 703 1070 1110 1406 1605 2033 2109 3210 3515 3959 4066 4218 6099 7030 7918 10165 10545 11877 12198 19795 20330 21090 23754 30495 39590 59385 60990 75221 118770 150442 225663 376105 451326 752210 1128315 2256630