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2257376664 = 2337310112757
BaseRepresentation
bin1000011010001100…
…1101010110011000
312211022122121122010
42012203031112120
514110342023124
61011555225520
7106640246034
oct20643152630
95738577563
102257376664
11a59259554
1252bba82a0
1329c8a054a
14175b351c4
15d32a2529
hex868cd598

2257376664 has 64 divisors (see below), whose sum is σ = 5777843040. Its totient is φ = 734745600.

The previous prime is 2257376621. The next prime is 2257376683. The reversal of 2257376664 is 4666737522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170574 + ... + 183330.

Almost surely, 22257376664 is an apocalyptic number.

2257376664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2257376664 is an abundant number, since it is smaller than the sum of its proper divisors (3520466376).

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

2257376664 is a wasteful number, since it uses less digits than its factorization.

2257376664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12940 (or 12936 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 48.

The square root of 2257376664 is about 47511.8581408894. The cubic root of 2257376664 is about 1311.8011593243.

The spelling of 2257376664 in words is "two billion, two hundred fifty-seven million, three hundred seventy-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 73 101 146 202 219 292 303 404 438 584 606 808 876 1212 1752 2424 7373 12757 14746 22119 25514 29492 38271 44238 51028 58984 76542 88476 102056 153084 176952 306168 931261 1288457 1862522 2576914 2793783 3725044 3865371 5153828 5587566 7450088 7730742 10307656 11175132 15461484 22350264 30922968 94057361 188114722 282172083 376229444 564344166 752458888 1128688332 2257376664