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22872942 = 234271521
BaseRepresentation
bin101011101000…
…0001101101110
31121001001210000
41113100031232
521323413232
62134125130
7365262651
oct127201556
947031700
1022872942
1111a02864
1277b07a6
13497acb1
143075898
15201c27c
hex15d036e

22872942 has 40 divisors (see below), whose sum is σ = 51540192. Its totient is φ = 7581600.

The previous prime is 22872923. The next prime is 22872959. The reversal of 22872942 is 24927822.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22872897 and 22872906.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 43642 + ... + 44162.

Almost surely, 222872942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22872942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25770096).

22872942 is an abundant number, since it is smaller than the sum of its proper divisors (28667250).

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

22872942 is a wasteful number, since it uses less digits than its factorization.

22872942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 797 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 22872942 is about 4782.5664658215. The cubic root of 22872942 is about 283.8620552723.

The spelling of 22872942 in words is "twenty-two million, eight hundred seventy-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 271 521 542 813 1042 1563 1626 2439 3126 4689 4878 7317 9378 14067 14634 21951 28134 42201 43902 84402 141191 282382 423573 847146 1270719 2541438 3812157 7624314 11436471 22872942