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22481928 = 2333714869
BaseRepresentation
bin101010111000…
…0110000001000
31120022012102000
41111300300020
521223410203
62121511000
7362043660
oct125606010
946265360
1022481928
1111766007
127642460
134872021
142db31a0
151e914a3
hex1570c08

22481928 has 64 divisors (see below), whose sum is σ = 71376000. Its totient is φ = 6422976.

The previous prime is 22481923. The next prime is 22481947. The reversal of 22481928 is 82918422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22481892 and 22481901.

It is not an unprimeable number, because it can be changed into a prime (22481923) 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, 5923 + ... + 8946.

It is an arithmetic number, because the mean of its divisors is an integer number (1115250).

Almost surely, 222481928 is an apocalyptic number.

22481928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22481928 is an abundant number, since it is smaller than the sum of its proper divisors (48894072).

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

22481928 is a wasteful number, since it uses less digits than its factorization.

22481928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14891 (or 14881 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 22481928 is about 4741.5111515212. The cubic root of 22481928 is about 282.2352044051.

It can be divided in two parts, 22481 and 928, that added together give a square (23409 = 1532).

The spelling of 22481928 in words is "twenty-two million, four hundred eighty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 14869 29738 44607 59476 89214 104083 118952 133821 178428 208166 267642 312249 356856 401463 416332 535284 624498 802926 832664 936747 1070568 1248996 1605852 1873494 2497992 2810241 3211704 3746988 5620482 7493976 11240964 22481928