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22114008 = 23327172989
BaseRepresentation
bin101010001011…
…0111011011000
31112121111201100
41110112323120
521130122013
62105551400
7355652220
oct124267330
945544640
1022114008
1111534644
1274a5560
134773717
142d19080
151e1c473
hex1516ed8

22114008 has 192 divisors, whose sum is σ = 75816000. Its totient is φ = 5677056.

The previous prime is 22114007. The next prime is 22114019. The reversal of 22114008 is 80041122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22114003) 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 47 ways as a sum of consecutive naturals, for example, 248428 + ... + 248516.

It is an arithmetic number, because the mean of its divisors is an integer number (394875).

Almost surely, 222114008 is an apocalyptic number.

22114008 is a gapful number since it is divisible by the number (28) 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 22114008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37908000).

22114008 is an abundant number, since it is smaller than the sum of its proper divisors (53701992).

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

22114008 is a wasteful number, since it uses less digits than its factorization.

22114008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 22114008 is about 4702.5533489797. The cubic root of 22114008 is about 280.6871219425.

It can be divided in two parts, 2211 and 4008, that multiplied together give a palindrome (8861688).

The spelling of 22114008 in words is "twenty-two million, one hundred fourteen thousand, eight".