Search a number
-
+
155606022 = 23511132239
BaseRepresentation
bin10010100011001…
…01110000000110
3101211210121100000
421101211300012
5304313343042
623235102130
73566425605
oct1121456006
9354717300
10155606022
117a921120
1244141946
1326312790
1416947a3c
15d9da74c
hex9465c06

155606022 has 96 divisors (see below), whose sum is σ = 410941440. Its totient is φ = 43506720.

The previous prime is 155605987. The next prime is 155606023. The reversal of 155606022 is 220606551.

155606022 is a `hidden beast` number, since 1 + 5 + 56 + 0 + 602 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155606023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68379 + ... + 70617.

It is an arithmetic number, because the mean of its divisors is an integer number (4280640).

Almost surely, 2155606022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155606022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205470720).

155606022 is an abundant number, since it is smaller than the sum of its proper divisors (255335418).

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

155606022 is a wasteful number, since it uses less digits than its factorization.

155606022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 155606022 is about 12474.2142838738. The cubic root of 155606022 is about 537.8677023915.

The spelling of 155606022 in words is "one hundred fifty-five million, six hundred six thousand, twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 243 286 297 351 429 486 594 702 858 891 1053 1287 1782 2106 2239 2574 2673 3159 3861 4478 5346 6318 6717 7722 11583 13434 20151 23166 24629 29107 34749 40302 49258 58214 60453 69498 73887 87321 120906 147774 174642 181359 221661 261963 320177 362718 443322 523926 544077 640354 664983 785889 960531 1088154 1329966 1571778 1921062 1994949 2357667 2881593 3989898 4715334 5763186 5984847 7073001 8644779 11969694 14146002 17289558 25934337 51868674 77803011 155606022