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22026264 = 23313227311
BaseRepresentation
bin101010000000…
…1100000011000
31112110001100120
41110001200120
521114320024
62104033240
7355135341
oct124014030
945401316
1022026264
1111484727
127462820
1347427c0
142cd50c8
151e01479
hex1501818

22026264 has 64 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 6725760.

The previous prime is 22026253. The next prime is 22026269. The reversal of 22026264 is 46262022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22026269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70669 + ... + 70979.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 222026264 is an apocalyptic number.

22026264 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 22026264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120).

22026264 is an abundant number, since it is smaller than the sum of its proper divisors (37727976).

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

22026264 is a wasteful number, since it uses less digits than its factorization.

22026264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 22026264 is about 4693.2146765304. The cubic root of 22026264 is about 280.3153929063.

Adding to 22026264 its reverse (46262022), we get a palindrome (68288286).

The spelling of 22026264 in words is "twenty-two million, twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 227 311 312 454 622 681 908 933 1244 1362 1816 1866 2488 2724 2951 3732 4043 5448 5902 7464 8086 8853 11804 12129 16172 17706 23608 24258 32344 35412 48516 70597 70824 97032 141194 211791 282388 423582 564776 847164 917761 1694328 1835522 2753283 3671044 5506566 7342088 11013132 22026264