Search a number
-
+
218922526004 = 227131993022289
BaseRepresentation
bin1100101111100011001…
…1001010010100110100
3202221002002100121021212
43023320303022110310
512041323131313004
6244323245300552
721550050524210
oct3137063122464
9687062317255
10218922526004
1184932071046
1236518864758
131784b702220
14a84b24d940
155a6480896e
hex32f8cca534

218922526004 has 48 divisors (see below), whose sum is σ = 473895072000. Its totient is φ = 86171475456.

The previous prime is 218922525953. The next prime is 218922526037. The reversal of 218922526004 is 400625229812.

It is a happy number.

218922526004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1438709 + ... + 1583580.

It is an arithmetic number, because the mean of its divisors is an integer number (9872814000).

Almost surely, 2218922526004 is an apocalyptic number.

It is an amenable number.

218922526004 is an abundant number, since it is smaller than the sum of its proper divisors (254972545996).

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

218922526004 is a wasteful number, since it uses less digits than its factorization.

218922526004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022512 (or 3022510 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 218922526004 in words is "two hundred eighteen billion, nine hundred twenty-two million, five hundred twenty-six thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 199 364 398 796 1393 2587 2786 5174 5572 10348 18109 36218 72436 3022289 6044578 12089156 21156023 39289757 42312046 78579514 84624092 157159028 275028299 550056598 601435511 1100113196 1202871022 2405742044 4210048577 7818661643 8420097154 15637323286 16840194308 31274646572 54730631501 109461263002 218922526004