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2252868 = 2231941241
BaseRepresentation
bin1000100110000001000100
311020110100120
420212001010
51034042433
6120141540
725102062
oct10460104
94213316
102252868
1112a9682
129078b0
1360b577
14429032
152e77b3
hex226044

2252868 has 48 divisors (see below), whose sum is σ = 5691840. Its totient is φ = 691200.

The previous prime is 2252867. The next prime is 2252897. The reversal of 2252868 is 8682522.

It is not an unprimeable number, because it can be changed into a prime (2252867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9228 + ... + 9468.

It is an arithmetic number, because the mean of its divisors is an integer number (118580).

22252868 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 2252868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845920).

2252868 is an abundant number, since it is smaller than the sum of its proper divisors (3438972).

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

2252868 is a wasteful number, since it uses less digits than its factorization.

2252868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 2252868 is about 1500.9556955487. The cubic root of 2252868 is about 131.0927222659.

The spelling of 2252868 in words is "two million, two hundred fifty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 241 246 482 492 723 779 964 1446 1558 2337 2892 3116 4579 4674 9158 9348 9881 13737 18316 19762 27474 29643 39524 54948 59286 118572 187739 375478 563217 750956 1126434 2252868