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22464064 = 267411223
BaseRepresentation
bin101010110110…
…0011001000000
31120021021220101
41111230121000
521222322224
62121252144
7361640620
oct125543100
946237811
1022464064
1111753647
127634054
134866b5c
142daa880
151e8b044
hex156c640

22464064 has 56 divisors (see below), whose sum is σ = 52230528. Its totient is φ = 9384960.

The previous prime is 22464053. The next prime is 22464097. The reversal of 22464064 is 46046422.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17757 + ... + 18979.

It is an arithmetic number, because the mean of its divisors is an integer number (932688).

Almost surely, 222464064 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 22464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26115264).

22464064 is an abundant number, since it is smaller than the sum of its proper divisors (29766464).

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

22464064 is a wasteful number, since it uses less digits than its factorization.

22464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1273 counting only the distinct ones).

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

The square root of 22464064 is about 4739.6269895425. The cubic root of 22464064 is about 282.1604304846.

The spelling of 22464064 in words is "twenty-two million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1223 1312 2296 2446 2624 4592 4892 8561 9184 9784 17122 18368 19568 34244 39136 50143 68488 78272 100286 136976 200572 273952 351001 401144 547904 702002 802288 1404004 1604576 2808008 3209152 5616016 11232032 22464064