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1830556225 = 524321992
BaseRepresentation
bin110110100011100…
…0001001001000001
311201120111220001201
41231013001021001
512222110244400
6501351101201
763235320421
oct15507011101
94646456051
101830556225
1185a334a93
12431071801
1323232b284
1413518c481
15aaa9206a
hex6d1c1241

1830556225 has 27 divisors (see below), whose sum is σ = 2335642083. Its totient is φ = 1423200240.

The previous prime is 1830556213. The next prime is 1830556237. The reversal of 1830556225 is 5226550381.

It is a happy number.

The square root of 1830556225 is 42785.

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

It is an interprime number because it is at equal distance from previous prime (1830556213) and next prime (1830556237).

It can be written as a sum of positive squares in only one way, i.e., 659000241 + 1171555984 = 25671^2 + 34228^2 .

It is not a de Polignac number, because 1830556225 - 27 = 1830556097 is a prime.

It is a Duffinian number.

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, 9198676 + ... + 9198874.

Almost surely, 21830556225 is an apocalyptic number.

1830556225 is the 42785-th square number.

1830556225 is the 21393-rd centered octagonal number.

It is an amenable number.

1830556225 is a deficient number, since it is larger than the sum of its proper divisors (505085858).

1830556225 is an frugal number, since it uses more digits than its factorization.

1830556225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The cubic root of 1830556225 is about 1223.2851139754.

The spelling of 1830556225 in words is "one billion, eight hundred thirty million, five hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 43 199 215 995 1075 1849 4975 8557 9245 39601 42785 46225 198005 213925 367951 990025 1702843 1839755 8514215 9198775 42571075 73222249 366111245 1830556225