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2283406225 = 521925032
BaseRepresentation
bin1000100000011010…
…0000001110010001
312220010122001110221
42020012200032101
514134022444400
61014325153041
7110404430002
oct21006401621
95803561427
102283406225
11a71a17991
1253885b781
132a50b5259
1417938d1a9
15d56e4c1a
hex881a0391

2283406225 has 27 divisors (see below), whose sum is σ = 2994242043. Its totient is φ = 1727141040.

The previous prime is 2283406211. The next prime is 2283406267. The reversal of 2283406225 is 5226043822.

The square root of 2283406225 is 47785.

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

It can be written as a sum of positive squares in only one way, i.e., 822026241 + 1461379984 = 28671^2 + 38228^2 .

It is not a de Polignac number, because 2283406225 - 211 = 2283404177 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, 4539324 + ... + 4539826.

Almost surely, 22283406225 is an apocalyptic number.

2283406225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2283406225 is the 47785-th square number.

2283406225 is the 23893-rd centered octagonal number.

It is an amenable number.

2283406225 is a deficient number, since it is larger than the sum of its proper divisors (710835818).

2283406225 is an frugal number, since it uses more digits than its factorization.

2283406225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The cubic root of 2283406225 is about 1316.8239807406.

The spelling of 2283406225 in words is "two billion, two hundred eighty-three million, four hundred six thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 503 1805 2515 9025 9557 12575 47785 181583 238925 253009 907915 1265045 4539575 4807171 6325225 24035855 91336249 120179275 456681245 2283406225