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23422920 = 2335474153
BaseRepresentation
bin101100101011…
…0011111001000
31122002000012120
41121112133020
521444013140
62154011240
7403043253
oct131263710
948060176
1023422920
1112248a94
127a16b20
134b11421
14317a09a
1520ca1d0
hex16567c8

23422920 has 64 divisors (see below), whose sum is σ = 71781120. Its totient is φ = 6111744.

The previous prime is 23422913. The next prime is 23422933. The reversal of 23422920 is 2922432.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3564 + ... + 7716.

It is an arithmetic number, because the mean of its divisors is an integer number (1121580).

Almost surely, 223422920 is an apocalyptic number.

23422920 is a gapful number since it is divisible by the number (20) 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 23422920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35890560).

23422920 is an abundant number, since it is smaller than the sum of its proper divisors (48358200).

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

23422920 is a wasteful number, since it uses less digits than its factorization.

23422920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4210 counting only the distinct ones).

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

The square root of 23422920 is about 4839.7231325769. The cubic root of 23422920 is about 286.1192063426.

It can be divided in two parts, 23422 and 920, that added together give a palindrome (24342).

The spelling of 23422920 in words is "twenty-three million, four hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 4153 5640 8306 12459 16612 20765 24918 33224 41530 49836 62295 83060 99672 124590 166120 195191 249180 390382 498360 585573 780764 975955 1171146 1561528 1951910 2342292 2927865 3903820 4684584 5855730 7807640 11711460 23422920