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22420068 = 22311315479
BaseRepresentation
bin101010110000…
…1101001100100
31120012001112220
41111201221210
521214420233
62120312340
7361365426
oct125415144
946161486
1022420068
1111723590
1276126b0
13484cb18
142d98816
151e7ceb3
hex1561a64

22420068 has 48 divisors (see below), whose sum is σ = 58920960. Its totient is φ = 6573600.

The previous prime is 22420063. The next prime is 22420087. The reversal of 22420068 is 86002422.

It is not an unprimeable number, because it can be changed into a prime (22420063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1353 + ... + 6831.

It is an arithmetic number, because the mean of its divisors is an integer number (1227520).

Almost surely, 222420068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22420068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29460480).

22420068 is an abundant number, since it is smaller than the sum of its proper divisors (36500892).

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

22420068 is a wasteful number, since it uses less digits than its factorization.

22420068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22420068 is about 4734.9834213015. The cubic root of 22420068 is about 281.9761058171.

The spelling of 22420068 in words is "twenty-two million, four hundred twenty thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 5479 10958 16437 21916 32874 60269 65748 120538 169849 180807 241076 339698 361614 509547 679396 723228 1019094 1868339 2038188 3736678 5605017 7473356 11210034 22420068