Search a number
-
+
2258720676 = 2232894
BaseRepresentation
bin1000011010100001…
…0101011110100100
312211102011220021100
42012220111132210
514111213030201
61012044120100
7106654544322
oct20650253644
95742156240
102258720676
11a59a97303
12530536030
1329cc51214
14175da4d12
15d346a886
hex86a157a4

2258720676 has 45 divisors (see below), whose sum is σ = 5774425111. Its totient is φ = 744447264.

The previous prime is 2258720621. The next prime is 2258720701. The reversal of 2258720676 is 6760278522.

The square root of 2258720676 is 47526.

It is a perfect power (a square), and thus also a powerful number.

2258720676 is a `hidden beast` number, since 2 + 2 + 587 + 2 + 0 + 67 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 856967076 + 1401753600 = 29274^2 + 37440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25378840 + ... + 25378928.

Almost surely, 22258720676 is an apocalyptic number.

2258720676 is the 47526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258720676

2258720676 is an abundant number, since it is smaller than the sum of its proper divisors (3515704435).

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

2258720676 is an frugal number, since it uses more digits than its factorization.

2258720676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The cubic root of 2258720676 is about 1312.0614506527.

The spelling of 2258720676 in words is "two billion, two hundred fifty-eight million, seven hundred twenty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 7921 15842 23763 31684 47526 71289 95052 142578 285156 704969 1409938 2114907 2819876 4229814 6344721 8459628 12689442 25378884 62742241 125484482 188226723 250968964 376453446 564680169 752906892 1129360338 2258720676