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2257496700 = 2235210770327
BaseRepresentation
bin1000011010001110…
…1010101001111100
312211022212201021220
42012203222221330
514110404343300
61012001553340
7106641256014
oct20643525174
95738781256
102257496700
11a59330758
12530045850
1329c913084
14175b66c44
15d32c7da0
hex868eaa7c

2257496700 has 72 divisors (see below), whose sum is σ = 6592828032. Its totient is φ = 596364480.

The previous prime is 2257496671. The next prime is 2257496701. The reversal of 2257496700 is 76947522.

2257496700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257496701) 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, 3064 + ... + 67263.

It is an arithmetic number, because the mean of its divisors is an integer number (91567056).

Almost surely, 22257496700 is an apocalyptic number.

2257496700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257496700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296414016).

2257496700 is an abundant number, since it is smaller than the sum of its proper divisors (4335331332).

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

2257496700 is a wasteful number, since it uses less digits than its factorization.

2257496700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70451 (or 70444 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 2257496700 is about 47513.1213455820. The cubic root of 2257496700 is about 1311.8244105869.

The spelling of 2257496700 in words is "two billion, two hundred fifty-seven million, four hundred ninety-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 1070 1284 1605 2140 2675 3210 5350 6420 8025 10700 16050 32100 70327 140654 210981 281308 351635 421962 703270 843924 1054905 1406540 1758175 2109810 3516350 4219620 5274525 7032700 7524989 10549050 15049978 21098100 22574967 30099956 37624945 45149934 75249890 90299868 112874835 150499780 188124725 225749670 376249450 451499340 564374175 752498900 1128748350 2257496700