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22883980 = 22572191229
BaseRepresentation
bin101011101001…
…0111010001100
31121001121220211
41113102322030
521324241410
62134252204
7365340100
oct127227214
947047824
1022883980
1111a10089
1277b7064
134983022
143079900
15202068a
hex15d2e8c

22883980 has 72 divisors (see below), whose sum is σ = 58892400. Its totient is φ = 7426944.

The previous prime is 22883957. The next prime is 22883981. The reversal of 22883980 is 8938822.

It is not an unprimeable number, because it can be changed into a prime (22883981) 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, 18006 + ... + 19234.

It is an arithmetic number, because the mean of its divisors is an integer number (817950).

Almost surely, 222883980 is an apocalyptic number.

22883980 is a gapful number since it is divisible by the number (20) 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 22883980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29446200).

22883980 is an abundant number, since it is smaller than the sum of its proper divisors (36008420).

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

22883980 is a wasteful number, since it uses less digits than its factorization.

22883980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 22883980 is about 4783.7203095499. The cubic root of 22883980 is about 283.9077098786.

The spelling of 22883980 in words is "twenty-two million, eight hundred eighty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1229 1330 1862 2458 2660 3724 4655 4916 6145 8603 9310 12290 17206 18620 23351 24580 34412 43015 46702 60221 86030 93404 116755 120442 163457 172060 233510 240884 301105 326914 467020 602210 653828 817285 1144199 1204420 1634570 2288398 3269140 4576796 5720995 11441990 22883980