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2292372 = 2232371721
BaseRepresentation
bin1000101111101010010100
311022110112200
420233222110
51041323442
6121044500
725325205
oct10575224
94273480
102292372
111326325
12926730
13623544
144395ac
1530434c
hex22fa94

2292372 has 36 divisors (see below), whose sum is σ = 5954676. Its totient is φ = 743040.

The previous prime is 2292371. The next prime is 2292391. The reversal of 2292372 is 2732922.

2292372 is a `hidden beast` number, since 2 + 292 + 372 = 666.

2292372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1887876 + 404496 = 1374^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292371) 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 11 ways as a sum of consecutive naturals, for example, 472 + ... + 2192.

22292372 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 2292372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977338).

2292372 is an abundant number, since it is smaller than the sum of its proper divisors (3662304).

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

2292372 is a wasteful number, since it uses less digits than its factorization.

2292372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1763 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2292372 is about 1514.0581230587. The cubic root of 2292372 is about 131.8545229243.

It can be divided in two parts, 229 and 2372, that added together give a square (2601 = 512).

The spelling of 2292372 in words is "two million, two hundred ninety-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1721 3442 5163 6884 10326 15489 20652 30978 61956 63677 127354 191031 254708 382062 573093 764124 1146186 2292372