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288238002 = 231330712037
BaseRepresentation
bin10001001011100…
…010100110110010
3202002101000012120
4101023202212302
51042242104002
644333535110
710066661013
oct2113424662
9662330176
10288238002
11138780528
1280644496
1347940240
142a3d100a
151a488cbc
hex112e29b2

288238002 has 32 divisors (see below), whose sum is σ = 622894272. Its totient is φ = 88392384.

The previous prime is 288237959. The next prime is 288238019. The reversal of 288238002 is 200832882.

It is a super-2 number, since 2×2882380022 = 166162291593904008, which contains 22 as substring.

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, 17928 + ... + 29964.

It is an arithmetic number, because the mean of its divisors is an integer number (19465446).

Almost surely, 2288238002 is an apocalyptic number.

288238002 is an abundant number, since it is smaller than the sum of its proper divisors (334656270).

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

288238002 is a wasteful number, since it uses less digits than its factorization.

288238002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12362.

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 288238002 is about 16977.5735015343. The cubic root of 288238002 is about 660.5673129525.

The spelling of 288238002 in words is "two hundred eighty-eight million, two hundred thirty-eight thousand, two".

Divisors: 1 2 3 6 13 26 39 78 307 614 921 1842 3991 7982 11973 12037 23946 24074 36111 72222 156481 312962 469443 938886 3695359 7390718 11086077 22172154 48039667 96079334 144119001 288238002