Search a number
-
+
122333820 = 22357291271
BaseRepresentation
bin1110100101010…
…10101001111100
322112012012110020
413102222221330
5222304140240
620050012140
73013551240
oct722525174
9275165406
10122333820
1163066234
1234b77050
131c46329b
1412366420
15ab170d0
hex74aaa7c

122333820 has 48 divisors (see below), whose sum is σ = 391469568. Its totient is φ = 27961920.

The previous prime is 122333807. The next prime is 122333831. The reversal of 122333820 is 28333221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145216 + ... + 146055.

It is an arithmetic number, because the mean of its divisors is an integer number (8155616).

Almost surely, 2122333820 is an apocalyptic number.

122333820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122333820 is an abundant number, since it is smaller than the sum of its proper divisors (269135748).

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

122333820 is a wasteful number, since it uses less digits than its factorization.

122333820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291290 (or 291288 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 122333820 is about 11060.4620156664. The cubic root of 122333820 is about 496.4195147864.

The spelling of 122333820 in words is "one hundred twenty-two million, three hundred thirty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 291271 582542 873813 1165084 1456355 1747626 2038897 2912710 3495252 4077794 4369065 5825420 6116691 8155588 8738130 10194485 12233382 17476260 20388970 24466764 30583455 40777940 61166910 122333820