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2292392 = 232941241
BaseRepresentation
bin1000101111101010101000
311022110120102
420233222220
51041324032
6121044532
725325234
oct10575250
94273512
102292392
111326343
12926748
1362355b
144395c4
15304362
hex22faa8

2292392 has 32 divisors (see below), whose sum is σ = 4573800. Its totient is φ = 1075200.

The previous prime is 2292391. The next prime is 2292403. The reversal of 2292392 is 2932922.

2292392 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1705636 + 586756 = 1306^2 + 766^2 .

It is a super-2 number, since 2×22923922 = 10510122163328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9392 + ... + 9632.

22292392 is an apocalyptic number.

It is an amenable number.

2292392 is a deficient number, since it is larger than the sum of its proper divisors (2281408).

2292392 is a wasteful number, since it uses less digits than its factorization.

2292392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 2292392 is about 1514.0647278105. The cubic root of 2292392 is about 131.8549063820.

The spelling of 2292392 in words is "two million, two hundred ninety-two thousand, three hundred ninety-two".

Divisors: 1 2 4 8 29 41 58 82 116 164 232 241 328 482 964 1189 1928 2378 4756 6989 9512 9881 13978 19762 27956 39524 55912 79048 286549 573098 1146196 2292392