Search a number
-
+
342253155222 = 233113147395459
BaseRepresentation
bin1001111101011111110…
…00001011001110010110
31012201102012200201011000
410332233320023032112
521101413301431342
6421121240524130
733504231550656
oct4765770131626
91181365621130
10342253155222
1112216aa901a0
12563b7a80646
13263749340c4
14127caa66366
158d81db244c
hex4fafe0b396

342253155222 has 128 divisors (see below), whose sum is σ = 874694246400. Its totient is φ = 98231767200.

The previous prime is 342253155199. The next prime is 342253155239. The reversal of 342253155222 is 222551352243.

It is a happy number.

342253155222 is a `hidden beast` number, since 3 + 422 + 5 + 3 + 1 + 5 + 5 + 222 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 667729 + ... + 1063187.

It is an arithmetic number, because the mean of its divisors is an integer number (6833548800).

Almost surely, 2342253155222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342253155222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437347123200).

342253155222 is an abundant number, since it is smaller than the sum of its proper divisors (532441091178).

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

342253155222 is a wasteful number, since it uses less digits than its factorization.

342253155222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395559 (or 395553 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The spelling of 342253155222 in words is "three hundred forty-two billion, two hundred fifty-three million, one hundred fifty-five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 47 54 62 66 93 94 99 141 186 198 279 282 297 341 423 517 558 594 682 837 846 1023 1034 1269 1457 1551 1674 2046 2538 2914 3069 3102 4371 4653 6138 8742 9207 9306 13113 13959 16027 18414 26226 27918 32054 39339 48081 78678 96162 144243 288486 395459 432729 790918 865458 1186377 2372754 3559131 4350049 7118262 8700098 10677393 12259229 13050147 18586573 21354786 24518458 26100294 36777687 37173146 39150441 55759719 73555374 78300882 110333061 111519438 117451323 134851519 167279157 204452303 220666122 234902646 269703038 330999183 334558314 404554557 408904606 501837471 576183763 613356909 661998366 809109114 1003674942 1152367526 1213663671 1226713818 1728551289 1840070727 2427327342 3457102578 3640991013 3680141454 5185653867 5520212181 6338021393 7281982026 10371307734 11040424362 12676042786 15556961601 19014064179 31113923202 38028128358 57042192537 114084385074 171126577611 342253155222