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22394664 = 2333199521
BaseRepresentation
bin101010101101…
…1011100101000
31120010202201000
41111123130220
521213112124
62115555000
7361231365
oct125333450
946122630
1022394664
1111706496
1275bba60
1348413a6
142d8d46c
151e756c9
hex155b728

22394664 has 64 divisors (see below), whose sum is σ = 62640000. Its totient is φ = 7413120.

The previous prime is 22394633. The next prime is 22394717. The reversal of 22394664 is 46649322.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42724 + ... + 43244.

It is an arithmetic number, because the mean of its divisors is an integer number (978750).

Almost surely, 222394664 is an apocalyptic number.

22394664 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 22394664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31320000).

22394664 is an abundant number, since it is smaller than the sum of its proper divisors (40245336).

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

22394664 is a wasteful number, since it uses less digits than its factorization.

22394664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 725 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 22394664 is about 4732.3000750164. The cubic root of 22394664 is about 281.8695639419.

It can be divided in two parts, 2239 and 4664, that added together give a triangular number (6903 = T117).

The spelling of 22394664 in words is "twenty-two million, three hundred ninety-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 199 216 398 521 597 796 1042 1194 1563 1592 1791 2084 2388 3126 3582 4168 4689 4776 5373 6252 7164 9378 10746 12504 14067 14328 18756 21492 28134 37512 42984 56268 103679 112536 207358 311037 414716 622074 829432 933111 1244148 1866222 2488296 2799333 3732444 5598666 7464888 11197332 22394664