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2232288 = 253223337
BaseRepresentation
bin1000100000111111100000
311012102010100
420200333200
51032413123
6115502400
724655062
oct10407740
94172110
102232288
111295173
128b7a00
136020a6
14421732
152e1643
hex220fe0

2232288 has 72 divisors (see below), whose sum is σ = 6643728. Its totient is φ = 709632.

The previous prime is 2232281. The next prime is 2232317. The reversal of 2232288 is 8822322.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×22322883 = 33371208058058735616, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6456 + ... + 6792.

It is an arithmetic number, because the mean of its divisors is an integer number (92274).

22232288 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 2232288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321864).

2232288 is an abundant number, since it is smaller than the sum of its proper divisors (4411440).

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

2232288 is a wasteful number, since it uses less digits than its factorization.

2232288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2232288 is about 1494.0843349691. The cubic root of 2232288 is about 130.6923222334.

Subtracting from 2232288 its product of digits (3072), we obtain a triangular number (2229216 = T2111).

The spelling of 2232288 in words is "two million, two hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 337 368 414 552 674 736 828 1011 1104 1348 1656 2022 2208 2696 3033 3312 4044 5392 6066 6624 7751 8088 10784 12132 15502 16176 23253 24264 31004 32352 46506 48528 62008 69759 93012 97056 124016 139518 186024 248032 279036 372048 558072 744096 1116144 2232288