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22778064 = 243352727
BaseRepresentation
bin101011011100…
…1000011010000
31120212020122000
41112321003100
521312344224
62132114000
7364416231
oct126710320
946766560
1022778064
1111948551
127765900
134946a5a
14304d088
151eee0c9
hex15b90d0

22778064 has 40 divisors (see below), whose sum is σ = 65382720. Its totient is φ = 7592544.

The previous prime is 22778059. The next prime is 22778081. The reversal of 22778064 is 46087722.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25932 + ... + 26795.

It is an arithmetic number, because the mean of its divisors is an integer number (1634568).

Almost surely, 222778064 is an apocalyptic number.

22778064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22778064 is an abundant number, since it is smaller than the sum of its proper divisors (42604656).

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

22778064 is a wasteful number, since it uses less digits than its factorization.

22778064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52744 (or 52732 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 22778064 is about 4772.6370069386. The cubic root of 22778064 is about 283.4690204383.

The spelling of 22778064 in words is "twenty-two million, seven hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 52727 105454 158181 210908 316362 421816 474543 632724 843632 949086 1265448 1423629 1898172 2530896 2847258 3796344 5694516 7592688 11389032 22778064