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2241235413225 = 32529961046281
BaseRepresentation
bin100000100111010100000…
…010100110100011101001
321221021000112211120022100
4200213110002212203221
5243210022231210400
64433335341044013
7320631621453504
oct40472402464351
97837015746270
102241235413225
11794558a64296
12302449256609
13133469879133
147a69524a13b
153d47661c100
hex209d40a68e9

2241235413225 has 18 divisors (see below), whose sum is σ = 4014301651646. Its totient is φ = 1195325553600.

The previous prime is 2241235413181. The next prime is 2241235413247. The reversal of 2241235413225 is 5223145321422.

2241235413225 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 235 + 413 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 370271033001 + 1870964380224 = 608499^2 + 1367832^2 .

It is not a de Polignac number, because 2241235413225 - 26 = 2241235413161 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2241235413225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4980522916 + ... + 4980523365.

Almost surely, 22241235413225 is an apocalyptic number.

2241235413225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2241235413225 is a deficient number, since it is larger than the sum of its proper divisors (1773066238421).

2241235413225 is a wasteful number, since it uses less digits than its factorization.

2241235413225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9961046297 (or 9961046289 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 2241235413225 in words is "two trillion, two hundred forty-one billion, two hundred thirty-five million, four hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 9961046281 29883138843 49805231405 89649416529 149415694215 249026157025 448247082645 747078471075 2241235413225