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2235492961 = 13236372
BaseRepresentation
bin1000010100111110…
…1110101001100001
312202210110210211121
42011033232221201
514034241233321
61005454212241
7106253243122
oct20517565141
95683423747
102235492961
11a47971a49
125247b4081
132981aa900
14172c7a049
15d13cd441
hex853eea61

2235492961 has 9 divisors (see below), whose sum is σ = 2421347481. Its totient is φ = 2062964592.

The previous prime is 2235492947. The next prime is 2235492983. The reversal of 2235492961 is 1692945322.

The square root of 2235492961 is 47281.

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

2235492961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1606486561 + 629006400 = 40081^2 + 25080^2 .

It is not a de Polignac number, because 2235492961 - 25 = 2235492929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2235492991) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 612835 + ... + 616471.

It is an arithmetic number, because the mean of its divisors is an integer number (269038609).

Almost surely, 22235492961 is an apocalyptic number.

2235492961 is the 47281-st square number.

2235492961 is the 23641-st centered octagonal number.

It is an amenable number.

2235492961 is a deficient number, since it is larger than the sum of its proper divisors (185854520).

2235492961 is an frugal number, since it uses more digits than its factorization.

2235492961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7300 (or 3650 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The cubic root of 2235492961 is about 1307.5483858392.

The spelling of 2235492961 in words is "two billion, two hundred thirty-five million, four hundred ninety-two thousand, nine hundred sixty-one".

Divisors: 1 13 169 3637 47281 614653 13227769 171960997 2235492961