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2330966664 = 23321319131071
BaseRepresentation
bin1000101011101111…
…1011101010001000
320000110010101010200
42022323323222020
514233211413124
61023144412200
7111522614115
oct21273735210
96013111120
102330966664
11a96851834
12550777060
132b1bc8120
1418180d90c
15d998bbc9
hex8aefba88

2330966664 has 96 divisors (see below), whose sum is σ = 7156531200. Its totient is φ = 679466880.

The previous prime is 2330966639. The next prime is 2330966699. The reversal of 2330966664 is 4666690332.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47752 + ... + 83319.

It is an arithmetic number, because the mean of its divisors is an integer number (74547200).

Almost surely, 22330966664 is an apocalyptic number.

2330966664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2330966664 is an abundant number, since it is smaller than the sum of its proper divisors (4825564536).

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

2330966664 is a wasteful number, since it uses less digits than its factorization.

2330966664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131115 (or 131108 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 2330966664 is about 48280.0855840169. The cubic root of 2330966664 is about 1325.9038169964.

The spelling of 2330966664 in words is "two billion, three hundred thirty million, nine hundred sixty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5928 8892 17784 131071 262142 393213 524284 786426 1048568 1179639 1572852 1703923 2359278 2490349 3145704 3407846 4718556 4980698 5111769 6815692 7471047 9437112 9961396 10223538 13631384 14942094 15335307 19922792 20447076 22413141 29884188 30670614 32374537 40894152 44826282 59768376 61341228 64749074 89652564 97123611 122682456 129498148 179305128 194247222 258996296 291370833 388494444 582741666 776988888 1165483332 2330966664