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2256870 = 235711977
BaseRepresentation
bin1000100110111111100110
311020122211210
420212333212
51034204440
6120212250
725116540
oct10467746
94218753
102256870
111301690
1290a086
13610335
1442a690
152e8a80
hex226fe6

2256870 has 64 divisors (see below), whose sum is σ = 6759936. Its totient is φ = 468480.

The previous prime is 2256857. The next prime is 2256887. The reversal of 2256870 is 786522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 1822 + ... + 2798.

It is an arithmetic number, because the mean of its divisors is an integer number (105624).

22256870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379968).

2256870 is an abundant number, since it is smaller than the sum of its proper divisors (4503066).

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

2256870 is a wasteful number, since it uses less digits than its factorization.

2256870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2256870 is about 1502.2882546302. The cubic root of 2256870 is about 131.1703008203.

The spelling of 2256870 in words is "two million, two hundred fifty-six thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 977 1155 1954 2310 2931 4885 5862 6839 9770 10747 13678 14655 20517 21494 29310 32241 34195 41034 53735 64482 68390 75229 102585 107470 150458 161205 205170 225687 322410 376145 451374 752290 1128435 2256870