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22080384 = 27336389
BaseRepresentation
bin101010000111…
…0101110000000
31112112210121000
41110032232000
521123033014
62105132000
7355452204
oct124165600
945483530
1022080384
1111511357
12748a000
134761321
142d0ab04
151e12509
hex150eb80

22080384 has 64 divisors (see below), whose sum is σ = 65178000. Its totient is φ = 7358976.

The previous prime is 22080367. The next prime is 22080403. The reversal of 22080384 is 48308022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262 + ... + 6650.

Almost surely, 222080384 is an apocalyptic number.

22080384 is a gapful number since it is divisible by the number (24) 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 22080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32589000).

22080384 is an abundant number, since it is smaller than the sum of its proper divisors (43097616).

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

22080384 is an equidigital number, since it uses as much as digits as its factorization.

22080384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22080384 is about 4698.9769099241. The cubic root of 22080384 is about 280.5447896677.

The spelling of 22080384 in words is "twenty-two million, eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 6389 12778 19167 25556 38334 51112 57501 76668 102224 115002 153336 172503 204448 230004 306672 345006 408896 460008 613344 690012 817792 920016 1226688 1380024 1840032 2453376 2760048 3680064 5520096 7360128 11040192 22080384