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2292992 = 2813253
BaseRepresentation
bin1000101111110100000000
311022111101122
420233310000
51041333432
6121051412
725330052
oct10576400
94274348
102292992
111326839
12926b68
13623900
144398d2
15304612
hex22fd00

2292992 has 54 divisors (see below), whose sum is σ = 5049702. Its totient is φ = 1038336.

The previous prime is 2292967. The next prime is 2293013. The reversal of 2292992 is 2992922.

It can be written as a sum of positive squares in 3 ways, for example, as 30976 + 2262016 = 176^2 + 1504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43238 + ... + 43290.

It is an arithmetic number, because the mean of its divisors is an integer number (93513).

22292992 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 2292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524851).

2292992 is an abundant number, since it is smaller than the sum of its proper divisors (2756710).

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

2292992 is an equidigital number, since it uses as much as digits as its factorization.

2292992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 2292992 is about 1514.2628569703. The cubic root of 2292992 is about 131.8664090748.

The spelling of 2292992 in words is "two million, two hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 169 208 212 256 338 416 424 676 689 832 848 1352 1378 1664 1696 2704 2756 3328 3392 5408 5512 6784 8957 10816 11024 13568 17914 21632 22048 35828 43264 44096 71656 88192 143312 176384 286624 573248 1146496 2292992