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22281468 = 22311592861
BaseRepresentation
bin101010011111…
…1110011111100
31112221000102120
41110333303330
521201001333
62113322540
7360250356
oct124776374
945830376
1022281468
1111639440
127566450
134801a01
142d600d6
151e51db3
hex153fcfc

22281468 has 48 divisors (see below), whose sum is σ = 57697920. Its totient is φ = 6635200.

The previous prime is 22281463. The next prime is 22281473. The reversal of 22281468 is 86418222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22281463) and next prime (22281473).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22281461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6358 + ... + 9218.

It is an arithmetic number, because the mean of its divisors is an integer number (1202040).

Almost surely, 222281468 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 22281468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28848960).

22281468 is an abundant number, since it is smaller than the sum of its proper divisors (35416452).

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

22281468 is a wasteful number, since it uses less digits than its factorization.

22281468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2936 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 22281468 is about 4720.3249888117. The cubic root of 22281468 is about 281.3938491792.

The spelling of 22281468 in words is "twenty-two million, two hundred eighty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 2861 3894 5722 7788 8583 11444 17166 31471 34332 62942 94413 125884 168799 188826 337598 377652 506397 675196 1012794 1856789 2025588 3713578 5570367 7427156 11140734 22281468