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22280064 = 273173413
BaseRepresentation
bin101010011111…
…1011110000000
31112220221111120
41110333132000
521200430224
62113312240
7360243312
oct124773600
945827446
1022280064
1111638384
127565680
134801191
142d5d7b2
151e51779
hex153f780

22280064 has 64 divisors (see below), whose sum is σ = 62681040. Its totient is φ = 6987776.

The previous prime is 22280053. The next prime is 22280099. The reversal of 22280064 is 46008222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4822 + ... + 8234.

Almost surely, 222280064 is an apocalyptic number.

22280064 is a gapful number since it is divisible by the number (24) 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 22280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31340520).

22280064 is an abundant number, since it is smaller than the sum of its proper divisors (40400976).

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

22280064 is a wasteful number, since it uses less digits than its factorization.

22280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22280064 is about 4720.1762678951. The cubic root of 22280064 is about 281.3879386581.

Adding to 22280064 its reverse (46008222), we get a palindrome (68288286).

The spelling of 22280064 in words is "twenty-two million, two hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 3413 6528 6826 10239 13652 20478 27304 40956 54608 58021 81912 109216 116042 163824 174063 218432 232084 327648 348126 436864 464168 655296 696252 928336 1310592 1392504 1856672 2785008 3713344 5570016 7426688 11140032 22280064