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22406328 = 2333722973
BaseRepresentation
bin101010101111…
…0010010111000
31120011100201000
41111132102320
521214000303
62120125000
7361310400
oct125362270
946140630
1022406328
111171422a
127606760
1348467a9
142d93800
151e78da3
hex155e4b8

22406328 has 192 divisors, whose sum is σ = 75924000. Its totient is φ = 6096384.

The previous prime is 22406327. The next prime is 22406359. The reversal of 22406328 is 82360422.

22406328 is a `hidden beast` number, since 2 + 24 + 0 + 632 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22406327) 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, 306900 + ... + 306972.

Almost surely, 222406328 is an apocalyptic number.

22406328 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 22406328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37962000).

22406328 is an abundant number, since it is smaller than the sum of its proper divisors (53517672).

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

22406328 is a wasteful number, since it uses less digits than its factorization.

22406328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 22406328 is about 4733.5322962878. The cubic root of 22406328 is about 281.9184916086.

The spelling of 22406328 in words is "twenty-two million, four hundred six thousand, three hundred twenty-eight".