Search a number
-
+
2257645640 = 23556441141
BaseRepresentation
bin1000011010010000…
…1111000001001000
312211100011021121012
42012210033001020
514110424130030
61012005103052
7106642446155
oct20644170110
95740137535
102257645640
11a59422648
125300b7a88
1329c965ac3
14175ba522c
15d3307095
hex8690f048

2257645640 has 16 divisors (see below), whose sum is σ = 5079702780. Its totient is φ = 903058240.

The previous prime is 2257645633. The next prime is 2257645693. The reversal of 2257645640 is 465467522.

It can be written as a sum of positive squares in 2 ways, for example, as 2255680036 + 1965604 = 47494^2 + 1402^2 .

It is a super-2 number, since 2×22576456402 = 10193927671622019200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28220531 + ... + 28220610.

Almost surely, 22257645640 is an apocalyptic number.

2257645640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257645640 is an abundant number, since it is smaller than the sum of its proper divisors (2822057140).

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

2257645640 is a wasteful number, since it uses less digits than its factorization.

2257645640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56441152 (or 56441148 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The square root of 2257645640 is about 47514.6886762399. The cubic root of 2257645640 is about 1311.8532594783.

The spelling of 2257645640 in words is "two billion, two hundred fifty-seven million, six hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 56441141 112882282 225764564 282205705 451529128 564411410 1128822820 2257645640