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22801420 = 22517199337
BaseRepresentation
bin101011011111…
…0110000001100
31120220102200001
41112332300030
521314121140
62132414044
7364544305
oct126766014
946812601
1022801420
1111964054
127777324
134954585
1430577ac
152005e9a
hex15bec0c

22801420 has 48 divisors (see below), whose sum is σ = 51105600. Its totient is φ = 8515584.

The previous prime is 22801391. The next prime is 22801433. The reversal of 22801420 is 2410822.

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, 67492 + ... + 67828.

It is an arithmetic number, because the mean of its divisors is an integer number (1064700).

Almost surely, 222801420 is an apocalyptic number.

22801420 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 22801420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25552800).

22801420 is an abundant number, since it is smaller than the sum of its proper divisors (28304180).

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

22801420 is a wasteful number, since it uses less digits than its factorization.

22801420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 22801420 is about 4775.0832453477. The cubic root of 22801420 is about 283.5658744530.

The spelling of 22801420 in words is "twenty-two million, eight hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 199 337 340 398 674 796 995 1348 1685 1990 3370 3383 3980 5729 6740 6766 11458 13532 16915 22916 28645 33830 57290 67063 67660 114580 134126 268252 335315 670630 1140071 1341260 2280142 4560284 5700355 11400710 22801420