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2256738 = 2311311103
BaseRepresentation
bin1000100110111101100010
311020122122220
420212331202
51034203423
6120211510
725116261
oct10467542
94218586
102256738
111301580
12909b96
13610263
1442a5d8
152e89e3
hex226f62

2256738 has 32 divisors (see below), whose sum is σ = 5087232. Its totient is φ = 661200.

The previous prime is 2256731. The next prime is 2256739. The reversal of 2256738 is 8376522.

2256738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2256699 and 2256708.

It is not an unprimeable number, because it can be changed into a prime (2256731) 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 15 ways as a sum of consecutive naturals, for example, 1495 + ... + 2597.

It is an arithmetic number, because the mean of its divisors is an integer number (158976).

22256738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543616).

2256738 is an abundant number, since it is smaller than the sum of its proper divisors (2830494).

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

2256738 is a wasteful number, since it uses less digits than its factorization.

2256738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150.

The product of its digits is 20160, while the sum is 33.

The square root of 2256738 is about 1502.2443210077. The cubic root of 2256738 is about 131.1677434706.

2256738 divided by its sum of digits (33) gives a palindrome (68386).

The spelling of 2256738 in words is "two million, two hundred fifty-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 1103 2046 2206 3309 6618 12133 24266 34193 36399 68386 72798 102579 205158 376123 752246 1128369 2256738