Search a number
-
+
225004162356 = 22326250115621
BaseRepresentation
bin1101000110001101001…
…0110000110100110100
3210111202221000201222200
43101203102300310310
512141302031143411
6251210540024500
722153545552351
oct3214322606464
9714687021880
10225004162356
1187472a90496
1237735532130
13182aa68210c
14ac66c2d628
155cbd6b9e56
hex34634b0d34

225004162356 has 18 divisors (see below), whose sum is σ = 568760521602. Its totient is φ = 75001387440.

The previous prime is 225004162333. The next prime is 225004162363. The reversal of 225004162356 is 653261400522.

225004162356 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 0 + 416 + 235 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183069313956 + 41934848400 = 427866^2 + 204780^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6250115621 = 225004162356 / (2 + 2 + 5 + 0 + 0 + 4 + 1 + 6 + 2 + 3 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 225004162356.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3125057775 + ... + 3125057846.

Almost surely, 2225004162356 is an apocalyptic number.

It is an amenable number.

225004162356 is an abundant number, since it is smaller than the sum of its proper divisors (343756359246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225004162356 is a wasteful number, since it uses less digits than its factorization.

225004162356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250115631 (or 6250115626 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 225004162356 its reverse (653261400522), we get a palindrome (878265562878).

The spelling of 225004162356 in words is "two hundred twenty-five billion, four million, one hundred sixty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 6250115621 12500231242 18750346863 25000462484 37500693726 56251040589 75001387452 112502081178 225004162356