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212018807025 = 3252306972
BaseRepresentation
bin1100010101110101001…
…1100100000011110001
3202021020221210100020100
43011131103210003301
511433203303311100
6241222230503013
721214011060504
oct3053523440361
9667227710210
10212018807025
1181a0a0a8873
1235110804a69
1316cbb33a0cc
14a3943d713b
1557ad6ac400
hex315d4e40f1

212018807025 has 27 divisors (see below), whose sum is σ = 379761612321. Its totient is φ = 113073013440.

The previous prime is 212018807017. The next prime is 212018807047. The reversal of 212018807025 is 520708810212.

The square root of 212018807025 is 460455.

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

It can be written as a sum of positive squares in 4 ways, for example, as 73089663201 + 138929143824 = 270351^2 + 372732^2 .

It is not a de Polignac number, because 212018807025 - 23 = 212018807017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6891477 + ... + 6922173.

Almost surely, 2212018807025 is an apocalyptic number.

212018807025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212018807025 is the 460455-th square number.

212018807025 is the 230228-th centered octagonal number.

It is an amenable number.

212018807025 is a deficient number, since it is larger than the sum of its proper divisors (167742805296).

212018807025 is an frugal number, since it uses more digits than its factorization.

212018807025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61410 (or 30705 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Multiplying 212018807025 by its sum of digits (36), we get a square (7632677052900 = 27627302).

The spelling of 212018807025 in words is "two hundred twelve billion, eighteen million, eight hundred seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 30697 92091 153485 276273 460455 767425 1381365 2302275 6906825 942305809 2826917427 4711529045 8480752281 14134587135 23557645225 42403761405 70672935675 212018807025