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2257272 = 2332107293
BaseRepresentation
bin1000100111000101111000
311020200101200
420213011320
51034213042
6120214200
725120653
oct10470570
94220350
102257272
111301a16
1290a360
13610584
1442a89a
152e8c4c
hex227178

2257272 has 48 divisors (see below), whose sum is σ = 6191640. Its totient is φ = 742848.

The previous prime is 2257247. The next prime is 2257291. The reversal of 2257272 is 2727522.

It is a happy number.

2257272 is a `hidden beast` number, since 22 + 572 + 72 = 666.

2257272 is digitally balanced in base 5, because in such base 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7558 + ... + 7850.

22257272 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 2257272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095820).

2257272 is an abundant number, since it is smaller than the sum of its proper divisors (3934368).

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

2257272 is a wasteful number, since it uses less digits than its factorization.

2257272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 405 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 2257272 is about 1502.4220445667. The cubic root of 2257272 is about 131.1780884982.

The spelling of 2257272 in words is "two million, two hundred fifty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 293 321 428 586 642 856 879 963 1172 1284 1758 1926 2344 2568 2637 3516 3852 5274 7032 7704 10548 21096 31351 62702 94053 125404 188106 250808 282159 376212 564318 752424 1128636 2257272