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2241143732025 = 32521124322112
BaseRepresentation
bin100000100111001110100…
…100110111011100111001
321221020210011022200100100
4200213032210313130321
5243204330243411100
64433322304030013
7320626426256412
oct40471644673471
97836704280310
102241143732025
11794511234900
12302422602309
13133453888bc3
147a686dc2809
153d46d55c400
hex209ce937739

2241143732025 has 243 divisors, whose sum is σ = 4538740218831. Its totient is φ = 1056314952000.

The previous prime is 2241143732011. The next prime is 2241143732033. The reversal of 2241143732025 is 5202373411422.

The square root of 2241143732025 is 1497045.

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

2241143732025 is a `hidden beast` number, since 2 + 2 + 4 + 11 + 437 + 3 + 202 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 806811743529 + 1434331988496 = 898227^2 + 1197636^2 .

It is not a de Polignac number, because 2241143732025 - 29 = 2241143731513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 10621534170 + ... + 10621534380.

Almost surely, 22241143732025 is an apocalyptic number.

2241143732025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2241143732025 is the 1497045-th square number.

2241143732025 is the 748523-rd centered octagonal number.

It is an amenable number.

2241143732025 is an abundant number, since it is smaller than the sum of its proper divisors (2297596486806).

2241143732025 is a wasteful number, since it uses less digits than its factorization.

2241143732025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 2241143732025 by its sum of digits (36), we get a square (80681174352900 = 89822702).

The spelling of 2241143732025 in words is "two trillion, two hundred forty-one billion, one hundred forty-three million, seven hundred thirty-two thousand, twenty-five".