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22245664 = 257472113
BaseRepresentation
bin101010011011…
…1000100100000
31112212012022111
41110313010200
521143330124
62112445104
7360041110
oct124670440
945765274
1022245664
1111614551
127549794
1347bb61c
142d51040
151e46494
hex1537120

22245664 has 48 divisors (see below), whose sum is σ = 51141888. Its totient is φ = 9326592.

The previous prime is 22245661. The next prime is 22245667. The reversal of 22245664 is 46654222.

It is an interprime number because it is at equal distance from previous prime (22245661) and next prime (22245667).

It is not an unprimeable number, because it can be changed into a prime (22245661) 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, 9472 + ... + 11584.

It is an arithmetic number, because the mean of its divisors is an integer number (1065456).

It is a vampire number, since it can be written as 42265264 (with its own digits).

Almost surely, 222245664 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 22245664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25570944).

22245664 is an abundant number, since it is smaller than the sum of its proper divisors (28896224).

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

22245664 is a wasteful number, since it uses less digits than its factorization.

22245664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2169 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The square root of 22245664 is about 4716.5309285533. The cubic root of 22245664 is about 281.2430448321.

Adding to 22245664 its reverse (46654222), we get a palindrome (68899886).

The spelling of 22245664 in words is "twenty-two million, two hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2113 2632 4226 5264 8452 10528 14791 16904 29582 33808 59164 67616 99311 118328 198622 236656 397244 473312 695177 794488 1390354 1588976 2780708 3177952 5561416 11122832 22245664