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30045022225 = 52346672
BaseRepresentation
bin11011111110110100…
…101010100000010001
32212112220000021020221
4123332310222200101
5443013011202400
621445201033041
72112354321661
oct337664524021
985486007227
1030045022225
11118186a4989
1259a6025781
132aaa7c987a
1416504081a1
15baca6dc1a
hex6fed2a811

30045022225 has 9 divisors (see below), whose sum is σ = 37256902267. Its totient is φ = 24035324440.

The previous prime is 30045022219. The next prime is 30045022253. The reversal of 30045022225 is 52222054003.

It is a happy number.

The square root of 30045022225 is 173335.

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., 10816208001 + 19228814224 = 104001^2 + 138668^2 .

It is not a de Polignac number, because 30045022225 - 25 = 30045022193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30045022225.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 849342 + ... + 884008.

Almost surely, 230045022225 is an apocalyptic number.

30045022225 is the 173335-th square number.

30045022225 is the 86668-th centered octagonal number.

It is an amenable number.

30045022225 is a deficient number, since it is larger than the sum of its proper divisors (7211880042).

30045022225 is an frugal number, since it uses more digits than its factorization.

30045022225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69344 (or 34672 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Multiplying 30045022225 by its sum of digits (25), we get a square (751125555625 = 8666752).

30045022225 divided by its sum of digits (25) gives a square (1201800889 = 346672).

Adding to 30045022225 its reverse (52222054003), we get a palindrome (82267076228).

The spelling of 30045022225 in words is "thirty billion, forty-five million, twenty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 34667 173335 866675 1201800889 6009004445 30045022225