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22433490 = 2335194373
BaseRepresentation
bin101010110010…
…0111011010010
31120012201222000
41111210323102
521220332430
62120454430
7361452522
oct125447322
946181860
1022433490
1111732682
12761a416
134855c71
142d9d682
151e81e60
hex1564ed2

22433490 has 64 divisors (see below), whose sum is σ = 62985600. Its totient is φ = 5666112.

The previous prime is 22433461. The next prime is 22433531. The reversal of 22433490 is 9433422.

It is a happy number.

It is a super-3 number, since 3×224334903 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 2944 + ... + 7316.

It is an arithmetic number, because the mean of its divisors is an integer number (984150).

Almost surely, 222433490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22433490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31492800).

22433490 is an abundant number, since it is smaller than the sum of its proper divisors (40552110).

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

22433490 is a wasteful number, since it uses less digits than its factorization.

22433490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 22433490 is about 4736.4005320496. The cubic root of 22433490 is about 282.0323638727.

The spelling of 22433490 in words is "twenty-two million, four hundred thirty-three thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 4373 5130 8746 13119 21865 26238 39357 43730 65595 78714 83087 118071 131190 166174 196785 236142 249261 393570 415435 498522 590355 747783 830870 1180710 1246305 1495566 2243349 2492610 3738915 4486698 7477830 11216745 22433490