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22190080 = 211511197
BaseRepresentation
bin101010010100…
…1100000000000
31112202101001211
41110221200000
521140040310
62111335504
7356420053
oct124514000
945671054
1022190080
1111586810
127521594
13479c233
142d38a9a
151e34c8a
hex1529800

22190080 has 96 divisors (see below), whose sum is σ = 58378320. Its totient is φ = 8028160.

The previous prime is 22190059. The next prime is 22190087. The reversal of 22190080 is 8009122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22190087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112542 + ... + 112738.

Almost surely, 222190080 is an apocalyptic number.

22190080 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 22190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29189160).

22190080 is an abundant number, since it is smaller than the sum of its proper divisors (36188240).

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

22190080 is a wasteful number, since it uses less digits than its factorization.

22190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 22190080 is about 4710.6347767578. The cubic root of 22190080 is about 281.0086073612.

The spelling of 22190080 in words is "twenty-two million, one hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 197 220 256 320 352 394 440 512 640 704 788 880 985 1024 1280 1408 1576 1760 1970 2048 2167 2560 2816 3152 3520 3940 4334 5120 5632 6304 7040 7880 8668 10240 10835 11264 12608 14080 15760 17336 21670 22528 25216 28160 31520 34672 43340 50432 56320 63040 69344 86680 100864 112640 126080 138688 173360 201728 252160 277376 346720 403456 504320 554752 693440 1008640 1109504 1386880 2017280 2219008 2773760 4438016 5547520 11095040 22190080