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22298112 = 29331613
BaseRepresentation
bin101010100001…
…1111000000000
31112221212021000
41111003320000
521202014422
62113532000
7360350034
oct125037000
945855230
1022298112
111164a9a1
127574000
134809465
142d661c4
151e56cac
hex1543e00

22298112 has 80 divisors (see below), whose sum is σ = 66044880. Its totient is φ = 7428096.

The previous prime is 22298099. The next prime is 22298113. The reversal of 22298112 is 21189222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22298113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13018 + ... + 14630.

It is an arithmetic number, because the mean of its divisors is an integer number (825561).

Almost surely, 222298112 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 22298112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022440).

22298112 is an abundant number, since it is smaller than the sum of its proper divisors (43746768).

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

22298112 is an equidigital number, since it uses as much as digits as its factorization.

22298112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1618 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 22298112 is about 4722.0876739002. The cubic root of 22298112 is about 281.4638977286.

The spelling of 22298112 in words is "twenty-two million, two hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1613 1728 2304 3226 3456 4608 4839 6452 6912 9678 12904 13824 14517 19356 25808 29034 38712 43551 51616 58068 77424 87102 103232 116136 154848 174204 206464 232272 309696 348408 412928 464544 619392 696816 825856 929088 1238784 1393632 1858176 2477568 2787264 3716352 5574528 7432704 11149056 22298112