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2288667168 = 253228192
BaseRepresentation
bin1000100001101010…
…0100101000100000
312220111112100010200
42020122210220200
514141344322133
61015034025200
7110500231014
oct21032445040
95814470120
102288667168
11a74990577
1253a578200
132a6207a38
14179d5c544
15d5dd3913
hex886a4a20

2288667168 has 54 divisors (see below), whose sum is σ = 6510706839. Its totient is φ = 762618432.

The previous prime is 2288667133. The next prime is 2288667181. The reversal of 2288667168 is 8617668822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1144333584 + 1144333584 = 33828^2 + 33828^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33828.

It is a super-2 number, since 2×22886671682 = 10475994811762280448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 810463 + ... + 813281.

Almost surely, 22288667168 is an apocalyptic number.

It is an amenable number.

2288667168 is an abundant number, since it is smaller than the sum of its proper divisors (4222039671).

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

2288667168 is an frugal number, since it uses more digits than its factorization.

2288667168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654 (or 2824 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 2288667168 is about 47840.0163879571. The cubic root of 2288667168 is about 1317.8345210687.

The spelling of 2288667168 in words is "two billion, two hundred eighty-eight million, six hundred sixty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2819 5638 8457 11276 16914 22552 25371 33828 45104 50742 67656 90208 101484 135312 202968 270624 405936 811872 7946761 15893522 23840283 31787044 47680566 63574088 71520849 95361132 127148176 143041698 190722264 254296352 286083396 381444528 572166792 762889056 1144333584 2288667168