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22264440 = 233511101167
BaseRepresentation
bin101010011101…
…1101001111000
31112220011001220
41110323221320
521144430230
62113112040
7360146622
oct124735170
945804056
1022264440
1111627670
127558620
1347c7033
142d57c12
151e4bd10
hex153ba78

22264440 has 128 divisors (see below), whose sum is σ = 74027520. Its totient is φ = 5312000.

The previous prime is 22264439. The next prime is 22264457. The reversal of 22264440 is 4446222.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22264440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133237 + ... + 133403.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 222264440 is an apocalyptic number.

22264440 is a gapful number since it is divisible by the number (20) 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 22264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

22264440 is an abundant number, since it is smaller than the sum of its proper divisors (51763080).

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

22264440 is a wasteful number, since it uses less digits than its factorization.

22264440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 22264440 is about 4718.5209547060. The cubic root of 22264440 is about 281.3221484039.

It can be divided in two parts, 2226 and 4440, that added together give a palindrome (6666).

The spelling of 22264440 in words is "twenty-two million, two hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 167 202 220 264 303 330 334 404 440 501 505 606 660 668 808 835 1002 1010 1111 1212 1320 1336 1515 1670 1837 2004 2020 2222 2424 2505 3030 3333 3340 3674 4008 4040 4444 5010 5511 5555 6060 6666 6680 7348 8888 9185 10020 11022 11110 12120 13332 14696 16665 16867 18370 20040 22044 22220 26664 27555 33330 33734 36740 44088 44440 50601 55110 66660 67468 73480 84335 101202 110220 133320 134936 168670 185537 202404 220440 253005 337340 371074 404808 506010 556611 674680 742148 927685 1012020 1113222 1484296 1855370 2024040 2226444 2783055 3710740 4452888 5566110 7421480 11132220 22264440