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288228952 = 231110132429
BaseRepresentation
bin10001001011100…
…000011001011000
3202002100112210101
4101023200121120
51042241311302
644333425144
710066622434
oct2113403130
9662315711
10288228952
11138774750
128063b1b4
134793909b
142a3cb9c4
151a486287
hex112e0658

288228952 has 32 divisors (see below), whose sum is σ = 595414800. Its totient is φ = 129712000.

The previous prime is 288228949. The next prime is 288228977. The reversal of 288228952 is 259822882.

It is a congruent number.

It is an unprimeable number.

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, 7327 + ... + 25102.

Almost surely, 2288228952 is an apocalyptic number.

288228952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

288228952 is an abundant number, since it is smaller than the sum of its proper divisors (307185848).

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

288228952 is a wasteful number, since it uses less digits than its factorization.

288228952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32547 (or 32543 counting only the distinct ones).

The product of its digits is 368640, while the sum is 46.

The square root of 288228952 is about 16977.3069713662. The cubic root of 288228952 is about 660.5603994566.

It can be divided in two parts, 288228 and 952, that added together give a triangular number (289180 = T760).

The spelling of 288228952 in words is "two hundred eighty-eight million, two hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 8888 32429 64858 129716 259432 356719 713438 1426876 2853752 3275329 6550658 13101316 26202632 36028619 72057238 144114476 288228952