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2262456 = 23327672
BaseRepresentation
bin1000101000010110111000
311020221111200
420220112320
51034344311
6120254200
725142040
oct10502670
94227450
102262456
1113058a9
12911360
13612a41
1442c720
152ea556
hex2285b8

2262456 has 72 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 636768.

The previous prime is 2262451. The next prime is 2262457. The reversal of 2262456 is 6542622.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262451) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33735 + ... + 33801.

It is an arithmetic number, because the mean of its divisors is an integer number (98735).

22262456 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 2262456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554460).

2262456 is an abundant number, since it is smaller than the sum of its proper divisors (4846464).

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

2262456 is a wasteful number, since it uses less digits than its factorization.

2262456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 79 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2262456 is about 1504.1462694831. The cubic root of 2262456 is about 131.2784319357.

The spelling of 2262456 in words is "two million, two hundred sixty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 402 469 504 536 603 804 938 1206 1407 1608 1876 2412 2814 3752 4221 4489 4824 5628 8442 8978 11256 13467 16884 17956 26934 31423 33768 35912 40401 53868 62846 80802 94269 107736 125692 161604 188538 251384 282807 323208 377076 565614 754152 1131228 2262456