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2288187225 = 345210632
BaseRepresentation
bin1000100001100010…
…1111011101011001
312220110121221210000
42020120233131121
514141233442400
61015015443213
7110463161532
oct21030573531
95813557700
102288187225
11a74692a25
1253a386509
132a609a44c
14179c75689
15d5d3b600
hex8862f759

2288187225 has 45 divisors (see below), whose sum is σ = 4242504783. Its totient is φ = 1219218480.

The previous prime is 2288187217. The next prime is 2288187247. The reversal of 2288187225 is 5227818822.

The square root of 2288187225 is 47835.

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

2288187225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 823747401 + 1464439824 = 28701^2 + 38268^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2288187225 - 23 = 2288187217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2152044 + ... + 2153106.

Almost surely, 22288187225 is an apocalyptic number.

2288187225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2288187225 is the 47835-th square number.

2288187225 is the 23918-th centered octagonal number.

It is an amenable number.

2288187225 is a deficient number, since it is larger than the sum of its proper divisors (1954317558).

2288187225 is an frugal number, since it uses more digits than its factorization.

2288187225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 1071 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The cubic root of 2288187225 is about 1317.7423961734.

The spelling of 2288187225 in words is "two billion, two hundred eighty-eight million, one hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1063 2025 3189 5315 9567 15945 26575 28701 47835 79725 86103 143505 239175 430515 717525 1129969 2152575 3389907 5649845 10169721 16949535 28249225 30509163 50848605 84747675 91527489 152545815 254243025 457637445 762729075 2288187225