Search a number
-
+
2258057088 = 273673457
BaseRepresentation
bin1000011010010111…
…0011011110000000
312211100221012000000
42012211303132000
514111030311323
61012022000000
7106646111550
oct20645633600
95740835000
102258057088
11a59683791
12530276000
1329ca7b171
14175c71160
15d3388e43
hex86973780

2258057088 has 224 divisors, whose sum is σ = 7710371760. Its totient is φ = 644972544.

The previous prime is 2258057063. The next prime is 2258057089. The reversal of 2258057088 is 8807508522.

2258057088 is a `hidden beast` number, since 22 + 58 + 0 + 570 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258057089) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 651456 + ... + 654912.

Almost surely, 22258057088 is an apocalyptic number.

2258057088 is a gapful number since it is divisible by the number (28) 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 2258057088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855185880).

2258057088 is an abundant number, since it is smaller than the sum of its proper divisors (5452314672).

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

2258057088 is an frugal number, since it uses more digits than its factorization.

2258057088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 2258057088 is about 47519.0181716752. The cubic root of 2258057088 is about 1311.9329481894.

The spelling of 2258057088 in words is "two billion, two hundred fifty-eight million, fifty-seven thousand, eighty-eight".