Search a number
-
+
668133522 = 23472731153
BaseRepresentation
bin100111110100101…
…110100010010010
31201120012200220000
4213310232202102
52332020233042
6150144230430
722362020100
oct4764564222
91646180800
10668133522
11313164671
1216790b416
13a85629a4
1464a40c70
153d9ca74c
hex27d2e892

668133522 has 120 divisors (see below), whose sum is σ = 1766928636. Its totient is φ = 188116992.

The previous prime is 668133517. The next prime is 668133533. The reversal of 668133522 is 225331866.

It is a happy number.

668133522 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 644601321 + 23532201 = 25389^2 + 4851^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 578898 + ... + 580050.

Almost surely, 2668133522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668133522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883464318).

668133522 is an abundant number, since it is smaller than the sum of its proper divisors (1098795114).

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

668133522 is a wasteful number, since it uses less digits than its factorization.

668133522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1238 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 668133522 is about 25848.2788982168. The cubic root of 668133522 is about 874.2207034787.

The spelling of 668133522 in words is "six hundred sixty-eight million, one hundred thirty-three thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 73 81 98 126 146 147 162 189 219 294 378 438 441 511 567 657 882 1022 1134 1153 1314 1323 1533 1971 2306 2646 3066 3459 3577 3942 3969 4599 5913 6918 7154 7938 8071 9198 10377 10731 11826 13797 16142 20754 21462 24213 27594 31131 32193 41391 48426 56497 62262 64386 72639 82782 84169 93393 96579 112994 145278 168338 169491 186786 193158 217917 252507 289737 338982 435834 505014 508473 579474 589183 653751 757521 1016946 1178366 1307502 1515042 1525419 1767549 2272563 3050838 3535098 4124281 4545126 4576257 5302647 6817689 8248562 9152514 10605294 12372843 13635378 15907941 24745686 31815882 37118529 47723823 74237058 95447646 111355587 222711174 334066761 668133522