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22230936 = 2334713229
BaseRepresentation
bin101010011001…
…1011110011000
31112211110010000
41110303132120
521142342221
62112253000
7356650140
oct124633630
945743100
1022230936
1111604482
127541160
1347b4a00
142d49920
151e41e26
hex1533798

22230936 has 240 divisors, whose sum is σ = 79714800. Its totient is φ = 5660928.

The previous prime is 22230919. The next prime is 22230947. The reversal of 22230936 is 63903222.

22230936 = T653 + T654 + ... + T743.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 766570 + ... + 766598.

It is an arithmetic number, because the mean of its divisors is an integer number (332145).

Almost surely, 222230936 is an apocalyptic number.

22230936 is a gapful number since it is divisible by the number (26) 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 22230936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39857400).

22230936 is an abundant number, since it is smaller than the sum of its proper divisors (57483864).

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

22230936 is a wasteful number, since it uses less digits than its factorization.

22230936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 22230936 is about 4714.9693530287. The cubic root of 22230936 is about 281.1809643892.

The spelling of 22230936 in words is "twenty-two million, two hundred thirty thousand, nine hundred thirty-six".