Search a number
-
+
122152356 = 223223151977
BaseRepresentation
bin1110100011111…
…10010110100100
322111211222112100
413101332112210
5222232333411
620042052100
73012164214
oct721762644
9274758470
10122152356
1162a51967
1234aaa030
131c3cb801
141231a244
15aacd456
hex747e5a4

122152356 has 72 divisors (see below), whose sum is σ = 324664704. Its totient is φ = 38649600.

The previous prime is 122152343. The next prime is 122152367. The reversal of 122152356 is 653251221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124540 + ... + 125516.

It is an arithmetic number, because the mean of its divisors is an integer number (4509232).

Almost surely, 2122152356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122152356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162332352).

122152356 is an abundant number, since it is smaller than the sum of its proper divisors (202512348).

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

122152356 is a wasteful number, since it uses less digits than its factorization.

122152356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1156 counting only the distinct ones).

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

The square root of 122152356 is about 11052.2556973678. The cubic root of 122152356 is about 496.1739385187.

The spelling of 122152356 in words is "one hundred twenty-two million, one hundred fifty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 151 207 276 302 414 453 604 828 906 977 1359 1812 1954 2718 2931 3473 3908 5436 5862 6946 8793 10419 11724 13892 17586 20838 22471 31257 35172 41676 44942 62514 67413 89884 125028 134826 147527 202239 269652 295054 404478 442581 590108 808956 885162 1327743 1770324 2655486 3393121 5310972 6786242 10179363 13572484 20358726 30538089 40717452 61076178 122152356