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2290011456 = 26347253769
BaseRepresentation
bin1000100001111110…
…1100110101000000
312220121001122011010
42020133230311000
514142220331311
61015122520520
7110514530145
oct21037546500
95817048133
102290011456
11a75719557
1253ab06140
132a6588885
1417a1cc3cc
15d609bda6
hex887ecd40

2290011456 has 56 divisors (see below), whose sum is σ = 6187927680. Its totient is φ = 747092992.

The previous prime is 2290011433. The next prime is 2290011497. The reversal of 2290011456 is 6541100922.

It is a super-2 number, since 2×22900114562 = 10488304937222479872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117861 + ... + 135908.

Almost surely, 22290011456 is an apocalyptic number.

It is an amenable number.

2290011456 is an abundant number, since it is smaller than the sum of its proper divisors (3897916224).

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

2290011456 is a wasteful number, since it uses less digits than its factorization.

2290011456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253831 (or 253821 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2290011456 is about 47854.0641534238. The cubic root of 2290011456 is about 1318.0924881541.

The spelling of 2290011456 in words is "two billion, two hundred ninety million, eleven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 253769 507538 761307 1015076 1522614 2030152 3045228 4060304 6090456 8120608 11927143 12180912 16241216 23854286 24361824 35781429 47708572 48723648 71562858 95417144 143125716 190834288 286251432 381668576 572502864 763337152 1145005728 2290011456