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2256444 = 2233171229
BaseRepresentation
bin1000100110111000111100
311020122021000
420212320330
51034201234
6120210300
725115361
oct10467074
94218230
102256444
111301333
12909990
13610098
1442a468
152e8899
hex226e3c

2256444 has 48 divisors (see below), whose sum is σ = 6199200. Its totient is φ = 707328.

The previous prime is 2256437. The next prime is 2256467. The reversal of 2256444 is 4446522.

2256444 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 1222 + ... + 2450.

It is an arithmetic number, because the mean of its divisors is an integer number (129150).

22256444 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 2256444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099600).

2256444 is an abundant number, since it is smaller than the sum of its proper divisors (3942756).

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

2256444 is a wasteful number, since it uses less digits than its factorization.

2256444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1251 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 2256444 is about 1502.1464642304. The cubic root of 2256444 is about 131.1620471970.

The spelling of 2256444 in words is "two million, two hundred fifty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1229 1836 2458 3687 4916 7374 11061 14748 20893 22122 33183 41786 44244 62679 66366 83572 125358 132732 188037 250716 376074 564111 752148 1128222 2256444