Search a number
-
+
228062957292 = 223317753716481
BaseRepresentation
bin1101010001100110011…
…1001000111011101100
3210210200002200121211000
43110121213020323230
512214033104113132
6252434244400300
722322420103012
oct3243147107354
9723602617730
10228062957292
11887a2659395
12382499a6090
13186772b0c51
14b07717c8b2
155debec487c
hex35199c8eec

228062957292 has 96 divisors (see below), whose sum is σ = 626176232640. Its totient is φ = 71535329280.

The previous prime is 228062957251. The next prime is 228062957293. The reversal of 228062957292 is 292759260822.

It is a happy number.

228062957292 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 62 + 9 + 572 + 9 + 2 = 666.

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 (228062957293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13829692 + ... + 13846172.

It is an arithmetic number, because the mean of its divisors is an integer number (6522669090).

Almost surely, 2228062957292 is an apocalyptic number.

It is an amenable number.

228062957292 is an abundant number, since it is smaller than the sum of its proper divisors (398113275348).

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

228062957292 is a wasteful number, since it uses less digits than its factorization.

228062957292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24048 (or 24040 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 228062957292 in words is "two hundred twenty-eight billion, sixty-two million, nine hundred fifty-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 7537 15074 16481 22611 30148 32962 45222 49443 65924 67833 90444 98886 128129 135666 148329 197772 203499 256258 271332 280177 296658 384387 406998 444987 512516 560354 593316 768774 813996 840531 889974 1120708 1153161 1537548 1681062 1779948 2306322 2521593 3362124 3459483 4612644 5043186 6918966 7564779 10086372 13837932 15129558 30259116 124217297 248434594 372651891 496869188 745303782 1117955673 1490607564 2111694049 2235911346 3353867019 4223388098 4471822692 6335082147 6707734038 8446776196 12670164294 13415468076 19005246441 25340328588 38010492882 57015739323 76020985764 114031478646 228062957292