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22083468 = 22311267227
BaseRepresentation
bin101010000111…
…1011110001100
31112112221211020
41110033132030
521123132333
62105154140
7355464201
oct124173614
945487736
1022083468
1111513700
12748b950
134762854
142d0bca8
151e133b3
hex150f78c

22083468 has 72 divisors (see below), whose sum is σ = 57736896. Its totient is φ = 6563040.

The previous prime is 22083419. The next prime is 22083469. The reversal of 22083468 is 86438022.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22083469) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 97171 + ... + 97397.

Almost surely, 222083468 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 22083468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28868448).

22083468 is an abundant number, since it is smaller than the sum of its proper divisors (35653428).

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

22083468 is a wasteful number, since it uses less digits than its factorization.

22083468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 22083468 is about 4699.3050550055. The cubic root of 22083468 is about 280.5578504287.

The spelling of 22083468 in words is "twenty-two million, eighty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 121 132 134 201 227 242 268 363 402 454 484 681 726 737 804 908 1362 1452 1474 2211 2497 2724 2948 4422 4994 7491 8107 8844 9988 14982 15209 16214 24321 27467 29964 30418 32428 45627 48642 54934 60836 82401 91254 97284 109868 164802 167299 182508 329604 334598 501897 669196 1003794 1840289 2007588 3680578 5520867 7361156 11041734 22083468