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2234925625 = 54312612
BaseRepresentation
bin1000010100110110…
…0100001000111001
312202202101222121011
42011031210020321
514034120110000
61005434113521
7106245361102
oct20515441071
95682358534
102234925625
11a47614779
1252457b8a1
1329803c5ca
14172b6d3a9
15d131a2ba
hex85364239

2234925625 has 45 divisors (see below), whose sum is σ = 2933841339. Its totient is φ = 1701900000.

The previous prime is 2234925613. The next prime is 2234925647. The reversal of 2234925625 is 5265294322.

It is a happy number.

The square root of 2234925625 is 47275.

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 2211538729 + 23386896 = 47027^2 + 4836^2 .

It is not a de Polignac number, because 2234925625 - 223 = 2226537017 is a prime.

It is a super-3 number, since 3×22349256253 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36638095 + ... + 36638155.

Almost surely, 22234925625 is an apocalyptic number.

2234925625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2234925625 is the 47275-th square number.

2234925625 is the 23638-th centered octagonal number.

It is an amenable number.

2234925625 is a deficient number, since it is larger than the sum of its proper divisors (698915714).

2234925625 is an frugal number, since it uses more digits than its factorization.

2234925625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 97 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The cubic root of 2234925625 is about 1307.4377641483.

It can be divided in two parts, 22349 and 25625, that added together give a palindrome (47974).

The spelling of 2234925625 in words is "two billion, two hundred thirty-four million, nine hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 31 61 125 155 305 625 775 961 1525 1891 3721 3875 4805 7625 9455 18605 19375 24025 38125 47275 58621 93025 115351 120125 236375 293105 465125 576755 600625 1181875 1465525 2325625 2883775 3575881 7327625 14418875 17879405 36638125 72094375 89397025 446985125 2234925625