Search a number
-
+
225837738522 = 233111093488057
BaseRepresentation
bin1101001001010011111…
…0100110101000011010
3210120221000112210112000
43102110332212220122
512200003430113042
6251425354301430
722213320050514
oct3222476465032
9716830483460
10225837738522
1187860574610
1237928727876
13183b128c956
14ad05818bb4
155d1b97574c
hex3494fa6a1a

225837738522 has 64 divisors (see below), whose sum is σ = 552508387200. Its totient is φ = 67807808640.

The previous prime is 225837738521. The next prime is 225837738527.

It is a happy number.

225837738522 is a `hidden beast` number, since 2 + 2 + 5 + 83 + 7 + 7 + 38 + 522 = 666.

225837738522 is nontrivially palindromic in base 10.

225837738522 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (225837738521) 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 31 ways as a sum of consecutive naturals, for example, 1679283 + ... + 1808774.

It is an arithmetic number, because the mean of its divisors is an integer number (8632943550).

Almost surely, 2225837738522 is an apocalyptic number.

225837738522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

225837738522 is an abundant number, since it is smaller than the sum of its proper divisors (326670648678).

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

225837738522 is a wasteful number, since it uses less digits than its factorization.

225837738522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488188 (or 3488182 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 225837738522 in words is "two hundred twenty-five billion, eight hundred thirty-seven million, seven hundred thirty-eight thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 109 198 218 297 327 594 654 981 1199 1962 2398 2943 3597 5886 7194 10791 21582 32373 64746 3488057 6976114 10464171 20928342 31392513 38368627 62785026 76737254 94177539 115105881 188355078 230211762 345317643 380198213 690635286 760396426 1035952929 1140594639 2071905858 2281189278 3421783917 4182180343 6843567834 8364360686 10265351751 12546541029 20530703502 25093082058 37639623087 75279246174 112918869261 225837738522