Search a number
-
+
122332920 = 23353133257
BaseRepresentation
bin1110100101010…
…10011011111000
322112012011012220
413102222123320
5222304123140
620050004040
73013545513
oct722523370
9275164186
10122332920
1163065596
1234b76620
131c462a58
1412365d7a
15ab16bd0
hex74aa6f8

122332920 has 64 divisors (see below), whose sum is σ = 368284320. Its totient is φ = 32507904.

The previous prime is 122332891. The next prime is 122332921. The reversal of 122332920 is 29233221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122332921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35932 + ... + 39188.

Almost surely, 2122332920 is an apocalyptic number.

122332920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122332920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184142160).

122332920 is an abundant number, since it is smaller than the sum of its proper divisors (245951400).

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

122332920 is a wasteful number, since it uses less digits than its factorization.

122332920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 122332920 is about 11060.4213301302. The cubic root of 122332920 is about 496.4182974107.

It can be divided in two parts, 1223 and 32920, that added together give a palindrome (34143).

The spelling of 122332920 in words is "one hundred twenty-two million, three hundred thirty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 313 626 939 1252 1565 1878 2504 3130 3257 3756 4695 6260 6514 7512 9390 9771 12520 13028 16285 18780 19542 26056 32570 37560 39084 48855 65140 78168 97710 130280 195420 390840 1019441 2038882 3058323 4077764 5097205 6116646 8155528 10194410 12233292 15291615 20388820 24466584 30583230 40777640 61166460 122332920