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22842981 = 3272912503
BaseRepresentation
bin101011100100…
…0111001100101
31120222112200100
41113020321211
521321433411
62133334313
7365106420
oct127107145
946875610
1022842981
11119922a7
127797399
13496a475
1430689b7
152013456
hex15c8e65

22842981 has 24 divisors (see below), whose sum is σ = 39012480. Its totient is φ = 12602016.

The previous prime is 22842977. The next prime is 22843013. The reversal of 22842981 is 18924822.

22842981 is a `hidden beast` number, since 228 + 429 + 8 + 1 = 666.

It is not a de Polignac number, because 22842981 - 22 = 22842977 is a prime.

It is a super-2 number, since 2×228429812 = 1043603561932722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22842481) 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, 4425 + ... + 8078.

It is an arithmetic number, because the mean of its divisors is an integer number (1625520).

Almost surely, 222842981 is an apocalyptic number.

22842981 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22842981 is a deficient number, since it is larger than the sum of its proper divisors (16169499).

22842981 is a wasteful number, since it uses less digits than its factorization.

22842981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12545 (or 12542 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 22842981 is about 4779.4331253821. The cubic root of 22842981 is about 283.7380585839.

The spelling of 22842981 in words is "twenty-two million, eight hundred forty-two thousand, nine hundred eighty-one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 12503 37509 87521 112527 262563 362587 787689 1087761 2538109 3263283 7614327 22842981