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22788420 = 2235478081
BaseRepresentation
bin101011011101…
…1100101000100
31120212202211120
41112323211010
521313212140
62132233540
7364461354
oct126734504
946782746
1022788420
1111955306
12776b8b0
13494b695
143052b64
1520021d0
hex15bb944

22788420 has 48 divisors (see below), whose sum is σ = 65173248. Its totient is φ = 5946880.

The previous prime is 22788413. The next prime is 22788421. The reversal of 22788420 is 2488722.

It is not an unprimeable number, because it can be changed into a prime (22788421) 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 15 ways as a sum of consecutive naturals, for example, 1221 + ... + 6860.

It is an arithmetic number, because the mean of its divisors is an integer number (1357776).

Almost surely, 222788420 is an apocalyptic number.

22788420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22788420 is an abundant number, since it is smaller than the sum of its proper divisors (42384828).

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

22788420 is a wasteful number, since it uses less digits than its factorization.

22788420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 22788420 is about 4773.7218184557. The cubic root of 22788420 is about 283.5119734654.

The spelling of 22788420 in words is "twenty-two million, seven hundred eighty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 8081 16162 24243 32324 40405 48486 80810 96972 121215 161620 242430 379807 484860 759614 1139421 1519228 1899035 2278842 3798070 4557684 5697105 7596140 11394210 22788420