Search a number
-
+
225311416434 = 232137912188219
BaseRepresentation
bin1101000111010110011…
…0110110000001110010
3210112120100011212100100
43101311212312001302
512142414210311214
6251301233333230
722164266304006
oct3216546660162
9715510155310
10225311416434
1187610469a85
1237800407216
131832921c970
14ac95970706
155cda65d309
hex34759b6072

225311416434 has 48 divisors (see below), whose sum is σ = 532381449600. Its totient is φ = 68449032288.

The previous prime is 225311416433. The next prime is 225311416439. The reversal of 225311416434 is 434614113522.

225311416434 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 1 + 1 + 4 + 1 + 643 + 4 = 666.

225311416434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225311416433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6075624 + ... + 6112595.

It is an arithmetic number, because the mean of its divisors is an integer number (11091280200).

Almost surely, 2225311416434 is an apocalyptic number.

225311416434 is an abundant number, since it is smaller than the sum of its proper divisors (307070033166).

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

225311416434 is a wasteful number, since it uses less digits than its factorization.

225311416434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188319 (or 12188316 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 225311416434 its reverse (434614113522), we get a palindrome (659925529956).

The spelling of 225311416434 in words is "two hundred twenty-five billion, three hundred eleven million, four hundred sixteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 234 237 474 711 1027 1422 2054 3081 6162 9243 18486 12188219 24376438 36564657 73129314 109693971 158446847 219387942 316893694 475340541 950681082 962869301 1426021623 1925738602 2852043246 2888607903 5777215806 8665823709 12517300913 17331647418 25034601826 37551902739 75103805478 112655708217 225311416434