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2269823960664 = 2332136151394249
BaseRepresentation
bin100001000001111100000…
…011010000011001011000
322000222210221020020202200
4201001330003100121120
5244142044413220124
64454424232530200
7322663232220351
oct41017403203130
98028727206680
102269823960664
117a56994a70a7
12307aa7550960
131360746b29b0
147bc08040d28
153e09b38cbc9
hex2107c0d0658

2269823960664 has 96 divisors (see below), whose sum is σ = 6621412980000. Its totient is φ = 698292057600.

The previous prime is 2269823960633. The next prime is 2269823960669. The reversal of 2269823960664 is 4660693289622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269823960669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5560212 + ... + 5954460.

It is an arithmetic number, because the mean of its divisors is an integer number (68973051875).

Almost surely, 22269823960664 is an apocalyptic number.

2269823960664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2269823960664 is an abundant number, since it is smaller than the sum of its proper divisors (4351589019336).

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

2269823960664 is a wasteful number, since it uses less digits than its factorization.

2269823960664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400425 (or 400418 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 2269823960664 in words is "two trillion, two hundred sixty-nine billion, eight hundred twenty-three million, nine hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 6151 12302 18453 24604 36906 49208 55359 73812 79963 110718 147624 159926 221436 239889 319852 394249 442872 479778 639704 719667 788498 959556 1182747 1439334 1576996 1919112 2365494 2878668 3153992 3548241 4730988 5125237 5757336 7096482 9461976 10250474 14192964 15375711 20500948 28385928 30751422 41001896 46127133 61502844 92254266 123005688 184508532 369017064 2425025599 4850051198 7275076797 9700102396 14550153594 19400204792 21825230391 29100307188 31525332787 43650460782 58200614376 63050665574 87300921564 94575998361 126101331148 174601843128 189151996722 252202662296 283727995083 378303993444 567455990166 756607986888 1134911980332 2269823960664