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2256744 = 2337219101
BaseRepresentation
bin1000100110111101101000
311020122200010
420212331220
51034203434
6120211520
725116300
oct10467550
94218603
102256744
111301586
12909ba0
13610269
1442a600
152e89e9
hex226f68

2256744 has 96 divisors (see below), whose sum is σ = 6976800. Its totient is φ = 604800.

The previous prime is 2256743. The next prime is 2256781. The reversal of 2256744 is 4476522.

2256744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2256743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22294 + ... + 22394.

It is an arithmetic number, because the mean of its divisors is an integer number (72675).

22256744 is an apocalyptic number.

2256744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488400).

2256744 is an abundant number, since it is smaller than the sum of its proper divisors (4720056).

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

2256744 is a wasteful number, since it uses less digits than its factorization.

2256744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 2256744 is about 1502.2463180185. The cubic root of 2256744 is about 131.1678597159.

The spelling of 2256744 in words is "two million, two hundred fifty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 101 114 133 147 152 168 196 202 228 266 294 303 392 399 404 456 532 588 606 707 798 808 931 1064 1176 1212 1414 1596 1862 1919 2121 2424 2793 2828 3192 3724 3838 4242 4949 5586 5656 5757 7448 7676 8484 9898 11172 11514 13433 14847 15352 16968 19796 22344 23028 26866 29694 39592 40299 46056 53732 59388 80598 94031 107464 118776 161196 188062 282093 322392 376124 564186 752248 1128372 2256744