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22838720 = 265149479
BaseRepresentation
bin101011100011…
…1110111000000
31120222022211112
41113013313000
521321314340
62133302452
7365061122
oct127076700
946868745
1022838720
111198a083
127794a28
134968548
143067212
152012065
hex15c7dc0

22838720 has 56 divisors (see below), whose sum is σ = 54864000. Its totient is φ = 9055232.

The previous prime is 22838713. The next prime is 22838729. The reversal of 22838720 is 2783822.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22838729) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 47441 + ... + 47919.

Almost surely, 222838720 is an apocalyptic number.

22838720 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 22838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432000).

22838720 is an abundant number, since it is smaller than the sum of its proper divisors (32025280).

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

22838720 is a wasteful number, since it uses less digits than its factorization.

22838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 22838720 is about 4778.9873404310. The cubic root of 22838720 is about 283.7204151913.

The spelling of 22838720 in words is "twenty-two million, eight hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 149 160 298 320 479 596 745 958 1192 1490 1916 2384 2395 2980 3832 4768 4790 5960 7664 9536 9580 11920 15328 19160 23840 30656 38320 47680 71371 76640 142742 153280 285484 356855 570968 713710 1141936 1427420 2283872 2854840 4567744 5709680 11419360 22838720