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22406464 = 26714931
BaseRepresentation
bin101010101111…
…0010101000000
31120011100220001
41111132111000
521214001324
62120125344
7361310653
oct125362500
946140801
1022406464
1111714343
127606854
134846882
142d9389a
151e78e44
hex155e540

22406464 has 28 divisors (see below), whose sum is σ = 45098208. Its totient is φ = 11043200.

The previous prime is 22406429. The next prime is 22406467. The reversal of 22406464 is 46460422.

22406464 is a modest number, since divided by 6464 gives 2240 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22406467) 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 3 ways as a sum of consecutive naturals, for example, 2079 + ... + 7009.

Almost surely, 222406464 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 22406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22549104).

22406464 is an abundant number, since it is smaller than the sum of its proper divisors (22691744).

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

22406464 is an equidigital number, since it uses as much as digits as its factorization.

22406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 22406464 is about 4733.5466618594. The cubic root of 22406464 is about 281.9190619956.

Adding to 22406464 its reverse (46460422), we get a palindrome (68866886).

The spelling of 22406464 in words is "twenty-two million, four hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 2272 4544 4931 9862 19724 39448 78896 157792 315584 350101 700202 1400404 2800808 5601616 11203232 22406464