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2239655625 = 32546312
BaseRepresentation
bin1000010101111110…
…0110111011001001
312210002022021221100
42011133212323021
514041322440000
61010123332013
7106333521144
oct20537467311
95702267840
102239655625
11a4a255469
12526081009
1329900751c
1417364105b
15d1951a00
hex857e6ec9

2239655625 has 45 divisors (see below), whose sum is σ = 4048945329. Its totient is φ = 1192590000.

The previous prime is 2239655623. The next prime is 2239655629. The reversal of 2239655625 is 5265569322.

The square root of 2239655625 is 47325.

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

2239655625 is a `hidden beast` number, since 2 + 2 + 3 + 96 + 556 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 175589001 + 2064066624 = 13251^2 + 45432^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2239655625 - 21 = 2239655623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2239655623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3549060 + ... + 3549690.

Almost surely, 22239655625 is an apocalyptic number.

2239655625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2239655625 is the 47325-th square number.

2239655625 is the 23663-rd centered octagonal number.

It is an amenable number.

2239655625 is a deficient number, since it is larger than the sum of its proper divisors (1809289704).

2239655625 is an frugal number, since it uses more digits than its factorization.

2239655625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 639 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The cubic root of 2239655625 is about 1308.3594686473.

The spelling of 2239655625 in words is "two billion, two hundred thirty-nine million, six hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 631 1125 1875 1893 3155 5625 5679 9465 15775 28395 47325 78875 141975 236625 394375 398161 709875 1183125 1194483 1990805 3549375 3583449 5972415 9954025 17917245 29862075 49770125 89586225 149310375 248850625 447931125 746551875 2239655625