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2231952 = 24346499
BaseRepresentation
bin1000100000111010010000
311012101122220
420200322100
51032410302
6115501040
724654102
oct10407220
94171586
102231952
111294998
128b7780
13601ba8
14421572
152e14bc
hex220e90

2231952 has 20 divisors (see below), whose sum is σ = 5766000. Its totient is φ = 743968.

The previous prime is 2231941. The next prime is 2232017. The reversal of 2231952 is 2591322.

It is a super-3 number, since 3×22319523 = 33356141402314420224, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 29 + 217 + 34 + 1 + 9 + 55 + 221 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 23202 + ... + 23297.

It is an arithmetic number, because the mean of its divisors is an integer number (288300).

22231952 is an apocalyptic number.

It is an amenable number.

2231952 is an abundant number, since it is smaller than the sum of its proper divisors (3534048).

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

2231952 is a wasteful number, since it uses less digits than its factorization.

2231952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46510 (or 46504 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 2231952 is about 1493.9718872857. The cubic root of 2231952 is about 130.6857647128.

The spelling of 2231952 in words is "two million, two hundred thirty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 46499 92998 139497 185996 278994 371992 557988 743984 1115976 2231952