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2296992 = 25371337
BaseRepresentation
bin1000110000110010100000
311022200212210
420300302200
51042000432
6121122120
725344525
oct10606240
94280783
102296992
111329845
12929340
13625689
1443b14c
153058cc
hex230ca0

2296992 has 48 divisors (see below), whose sum is σ = 6132672. Its totient is φ = 752640.

The previous prime is 2296979. The next prime is 2296999. The reversal of 2296992 is 2996922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×22969923 = 36357976333275070464, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2296992.

It is not an unprimeable number, because it can be changed into a prime (2296999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6648 + ... + 6984.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

22296992 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 2296992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336).

2296992 is an abundant number, since it is smaller than the sum of its proper divisors (3835680).

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

2296992 is a wasteful number, since it uses less digits than its factorization.

2296992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 2296992 is about 1515.5830561206. The cubic root of 2296992 is about 131.9430424605.

The spelling of 2296992 in words is "two million, two hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 337 426 568 674 852 1011 1136 1348 1704 2022 2272 2696 3408 4044 5392 6816 8088 10784 16176 23927 32352 47854 71781 95708 143562 191416 287124 382832 574248 765664 1148496 2296992