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2259252 = 223419367
BaseRepresentation
bin1000100111100100110100
311020210010000
420213210310
51034244002
6120231300
725126512
oct10474464
94223100
102259252
111303456
1290b530
13611448
1442b4b2
152e961c
hex227934

2259252 has 60 divisors (see below), whose sum is σ = 6233920. Its totient is φ = 711504.

The previous prime is 2259241. The next prime is 2259281. The reversal of 2259252 is 2529522.

2259252 is a `hidden beast` number, since 22 + 592 + 52 = 666.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5973 + ... + 6339.

22259252 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 2259252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116960).

2259252 is an abundant number, since it is smaller than the sum of its proper divisors (3974668).

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

2259252 is a wasteful number, since it uses less digits than its factorization.

2259252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 391 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2259252 is about 1503.0808361495. The cubic root of 2259252 is about 131.2164322320.

The spelling of 2259252 in words is "two million, two hundred fifty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 367 513 684 734 1026 1101 1468 1539 2052 2202 3078 3303 4404 6156 6606 6973 9909 13212 13946 19818 20919 27892 29727 39636 41838 59454 62757 83676 118908 125514 188271 251028 376542 564813 753084 1129626 2259252