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22089120 = 2535172707
BaseRepresentation
bin101010001000…
…0110110100000
31112120020120120
41110100312200
521123322440
62105240240
7355516524
oct124206640
945506516
1022089120
1111517979
127493080
1347652b1
142d0dd84
151e14dd0
hex1510da0

22089120 has 96 divisors (see below), whose sum is σ = 73700928. Its totient is φ = 5541888.

The previous prime is 22089113. The next prime is 22089121. The reversal of 22089120 is 2198022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×220891203 (a number of 23 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22089121) 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, 6807 + ... + 9513.

It is an arithmetic number, because the mean of its divisors is an integer number (767718).

Almost surely, 222089120 is an apocalyptic number.

22089120 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 22089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36850464).

22089120 is an abundant number, since it is smaller than the sum of its proper divisors (51611808).

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

22089120 is a wasteful number, since it uses less digits than its factorization.

22089120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 22089120 is about 4699.9063820463. The cubic root of 22089120 is about 280.5817835312.

The spelling of 22089120 in words is "twenty-two million, eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2707 2720 4080 5414 8121 8160 10828 13535 16242 21656 27070 32484 40605 43312 46019 54140 64968 81210 86624 92038 108280 129936 138057 162420 184076 216560 230095 259872 276114 324840 368152 433120 460190 552228 649680 690285 736304 920380 1104456 1299360 1380570 1472608 1840760 2208912 2761140 3681520 4417824 5522280 7363040 11044560 22089120