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2263380625 = 541121732
BaseRepresentation
bin1000011011101000…
…0111001010010001
312211201221122112001
42012322013022101
514113411140000
61012332034001
7110042263222
oct20672071221
95751848461
102263380625
11a6168a400
12532002901
132a0bc329c
14176859249
15d3a8b46a
hex86e87291

2263380625 has 45 divisors (see below), whose sum is σ = 3126888919. Its totient is φ = 1636580000.

The previous prime is 2263380617. The next prime is 2263380641. The reversal of 2263380625 is 5260833622.

The square root of 2263380625 is 47575.

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

It can be written as a sum of positive squares in 7 ways, for example, as 698703489 + 1564677136 = 26433^2 + 39556^2 .

It is not a de Polignac number, because 2263380625 - 23 = 2263380617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13083039 + ... + 13083211.

Almost surely, 22263380625 is an apocalyptic number.

2263380625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2263380625 is the 47575-th square number.

2263380625 is the 23788-th centered octagonal number.

It is an amenable number.

2263380625 is a deficient number, since it is larger than the sum of its proper divisors (863508294).

2263380625 is an frugal number, since it uses more digits than its factorization.

2263380625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The cubic root of 2263380625 is about 1312.9631320992.

The spelling of 2263380625 in words is "two billion, two hundred sixty-three million, three hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 173 275 605 625 865 1375 1903 3025 4325 6875 9515 15125 20933 21625 29929 47575 75625 104665 108125 149645 237875 329219 523325 748225 1189375 1646095 2616625 3621409 3741125 8230475 13083125 18107045 18705625 41152375 90535225 205761875 452676125 2263380625