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22838040 = 2332563439
BaseRepresentation
bin101011100011…
…1101100011000
31120222021220100
41113013230120
521321304130
62133255400
7365056131
oct127075430
946867810
1022838040
1111989615
127794560
134968144
143066c88
152011c60
hex15c7b18

22838040 has 48 divisors (see below), whose sum is σ = 74224800. Its totient is φ = 6090048.

The previous prime is 22838033. The next prime is 22838059. The reversal of 22838040 is 4083822.

It is a junction number, because it is equal to n+sod(n) for n = 22837995 and 22838013.

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 11 ways as a sum of consecutive naturals, for example, 31360 + ... + 32079.

It is an arithmetic number, because the mean of its divisors is an integer number (1546350).

Almost surely, 222838040 is an apocalyptic number.

22838040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22838040 is an abundant number, since it is smaller than the sum of its proper divisors (51386760).

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

22838040 is a wasteful number, since it uses less digits than its factorization.

22838040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63456 (or 63449 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22838040 is about 4778.9161951221. The cubic root of 22838040 is about 283.7175993330.

The spelling of 22838040 in words is "twenty-two million, eight hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 63439 126878 190317 253756 317195 380634 507512 570951 634390 761268 951585 1141902 1268780 1522536 1903170 2283804 2537560 2854755 3806340 4567608 5709510 7612680 11419020 22838040