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22340664 = 2333293353
BaseRepresentation
bin101010100111…
…0010000111000
31120001000122000
41111032100320
521204400124
62114501000
7360615063
oct125162070
946030560
1022340664
1111679965
127594760
134822938
142d778da
151e646c9
hex154e438

22340664 has 64 divisors (see below), whose sum is σ = 62445600. Its totient is φ = 7400448.

The previous prime is 22340663. The next prime is 22340671. The reversal of 22340664 is 46604322.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22340663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63112 + ... + 63464.

Almost surely, 222340664 is an apocalyptic number.

22340664 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 22340664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31222800).

22340664 is an abundant number, since it is smaller than the sum of its proper divisors (40104936).

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

22340664 is a wasteful number, since it uses less digits than its factorization.

22340664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 22340664 is about 4726.5911606569. The cubic root of 22340664 is about 281.6428253029.

Adding to 22340664 its reverse (46604322), we get a palindrome (68944986).

The spelling of 22340664 in words is "twenty-two million, three hundred forty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 293 353 586 706 879 1059 1172 1412 1758 2118 2344 2637 2824 3177 3516 4236 5274 6354 7032 7911 8472 9531 10548 12708 15822 19062 21096 25416 31644 38124 63288 76248 103429 206858 310287 413716 620574 827432 930861 1241148 1861722 2482296 2792583 3723444 5585166 7446888 11170332 22340664