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2257424320 = 26543164057
BaseRepresentation
bin1000011010001101…
…1000111111000000
312211022202001000011
42012203120333000
514110400034240
61012000234304
7106640535004
oct20643307700
95738661004
102257424320
11a59291338
1253000b994
1329c8b9148
14175b48704
15d32b16ea
hex868d8fc0

2257424320 has 56 divisors (see below), whose sum is σ = 5500536624. Its totient is φ = 881965056.

The previous prime is 2257424297. The next prime is 2257424321. The reversal of 2257424320 is 234247522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257424321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68269 + ... + 95788.

Almost surely, 22257424320 is an apocalyptic number.

2257424320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257424320 is an abundant number, since it is smaller than the sum of its proper divisors (3243112304).

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

2257424320 is a wasteful number, since it uses less digits than its factorization.

2257424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164117 (or 164107 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 31.

The square root of 2257424320 is about 47512.3596551466. The cubic root of 2257424320 is about 1311.8103905051.

The spelling of 2257424320 in words is "two billion, two hundred fifty-seven million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 3440 6880 13760 164057 328114 656228 820285 1312456 1640570 2624912 3281140 5249824 6562280 7054451 10499648 13124560 14108902 26249120 28217804 35272255 52498240 56435608 70544510 112871216 141089020 225742432 282178040 451484864 564356080 1128712160 2257424320