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22120332 = 223131719439
BaseRepresentation
bin101010001100…
…0011110001100
31112121211101120
41110120132030
521130322312
62110040540
7356006523
oct124303614
945554346
1022120332
1111539373
1274a9150
134776570
142d1b4ba
151e1e28c
hex151878c

22120332 has 96 divisors (see below), whose sum is σ = 62092800. Its totient is φ = 6054912.

The previous prime is 22120331. The next prime is 22120337. The reversal of 22120332 is 23302122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120331) 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 31 ways as a sum of consecutive naturals, for example, 50169 + ... + 50607.

It is an arithmetic number, because the mean of its divisors is an integer number (646800).

Almost surely, 222120332 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 22120332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31046400).

22120332 is an abundant number, since it is smaller than the sum of its proper divisors (39972468).

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

22120332 is a wasteful number, since it uses less digits than its factorization.

22120332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 22120332 is about 4703.2257015797. The cubic root of 22120332 is about 280.7138756662.

Adding to 22120332 its reverse (23302122), we get a palindrome (45422454).

The spelling of 22120332 in words is "twenty-two million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 204 221 228 247 323 439 442 494 646 663 741 878 884 969 988 1292 1317 1326 1482 1756 1938 2634 2652 2964 3876 4199 5268 5707 7463 8341 8398 11414 12597 14926 16682 16796 17121 22389 22828 25023 25194 29852 33364 34242 44778 50046 50388 68484 89556 97019 100092 108433 141797 194038 216866 283594 291057 325299 388076 425391 433732 567188 582114 650598 850782 1164228 1301196 1701564 1843361 3686722 5530083 7373444 11060166 22120332