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2292972 = 2231129599
BaseRepresentation
bin1000101111110011101100
311022111100220
420233303230
51041333342
6121051340
725330023
oct10576354
94274326
102292972
111326820
12926b50
136238b6
144398ba
153045ec
hex22fcec

2292972 has 48 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 669760.

The previous prime is 2292967. The next prime is 2293013. The reversal of 2292972 is 2792922.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3529 + ... + 4127.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

22292972 is an apocalyptic number.

2292972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2292972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2292972 is an abundant number, since it is smaller than the sum of its proper divisors (3755028).

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

2292972 is a wasteful number, since it uses less digits than its factorization.

2292972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 2292972 is about 1514.2562530827. The cubic root of 2292972 is about 131.8660256840.

The spelling of 2292972 in words is "two million, two hundred ninety-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 599 638 957 1198 1276 1797 1914 2396 3594 3828 6589 7188 13178 17371 19767 26356 34742 39534 52113 69484 79068 104226 191081 208452 382162 573243 764324 1146486 2292972