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9022150225 = 521141572
BaseRepresentation
bin10000110011100001…
…10001011001010001
3212021202202201102001
420121300301121101
5121434132301400
64051131554001
7436402003654
oct103160613121
925252681361
109022150225
11390a850000
1218b95bb901
13b0a23733a
1461833d89b
1537c104a6a
hex219c31651

9022150225 has 45 divisors (see below), whose sum is σ = 12385018785. Its totient is φ = 6519770400.

The previous prime is 9022150213. The next prime is 9022150229. The reversal of 9022150225 is 5220512209.

The square root of 9022150225 is 94985.

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 1091179089 + 7930971136 = 33033^2 + 89056^2 .

It is not a de Polignac number, because 9022150225 - 231 = 6874666577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9022150193 and 9022150202.

It is not an unprimeable number, because it can be changed into a prime (9022150229) 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, 57465847 + ... + 57466003.

Almost surely, 29022150225 is an apocalyptic number.

9022150225 is the 94985-th square number.

9022150225 is the 47493-rd centered octagonal number.

It is an amenable number.

9022150225 is a deficient number, since it is larger than the sum of its proper divisors (3362868560).

9022150225 is an frugal number, since it uses more digits than its factorization.

9022150225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 9022150225 is about 2081.7888814927.

Multiplying 9022150225 by its product of nonzero digits (3600), we get a square (32479740810000 = 56991002).

The spelling of 9022150225 in words is "nine billion, twenty-two million, one hundred fifty thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 157 275 605 785 1331 1727 3025 3925 6655 8635 14641 18997 24649 33275 43175 73205 94985 123245 208967 271139 366025 474925 616225 1044835 1355695 2298637 2982529 5224175 6778475 11493185 14912645 32807819 57465925 74563225 164039095 360886009 820195475 1804430045 9022150225