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22198120 = 235779279
BaseRepresentation
bin101010010101…
…1011101101000
31112202210002121
41110223131220
521140314440
62111441024
7356452360
oct124533550
945683077
1022198120
111159185a
127526174
1347a2aa9
142d3b9a0
151e3734a
hex152b768

22198120 has 32 divisors (see below), whose sum is σ = 57081600. Its totient is φ = 7610688.

The previous prime is 22198117. The next prime is 22198123. The reversal of 22198120 is 2189122.

It is an interprime number because it is at equal distance from previous prime (22198117) and next prime (22198123).

It is not an unprimeable number, because it can be changed into a prime (22198123) 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, 39360 + ... + 39919.

It is an arithmetic number, because the mean of its divisors is an integer number (1783800).

Almost surely, 222198120 is an apocalyptic number.

22198120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22198120 is an abundant number, since it is smaller than the sum of its proper divisors (34883480).

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

22198120 is a wasteful number, since it uses less digits than its factorization.

22198120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79297 (or 79293 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 22198120 is about 4711.4880876428. The cubic root of 22198120 is about 281.0425419901.

The spelling of 22198120 in words is "twenty-two million, one hundred ninety-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 79279 158558 317116 396395 554953 634232 792790 1109906 1585580 2219812 2774765 3171160 4439624 5549530 11099060 22198120