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22107040 = 255233593
BaseRepresentation
bin101010001010…
…1001110100000
31112121011011021
41110111032200
521124411130
62105455224
7355623004
oct124251640
945534137
1022107040
111152a38a
1274a1514
1347704b7
142d16704
151e1a37a
hex15153a0

22107040 has 48 divisors (see below), whose sum is σ = 52540488. Its totient is φ = 8790016.

The previous prime is 22107011. The next prime is 22107047. The reversal of 22107040 is 4070122.

It can be written as a sum of positive squares in 4 ways, for example, as 15776784 + 6330256 = 3972^2 + 2516^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22107047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36984 + ... + 37576.

Almost surely, 222107040 is an apocalyptic number.

22107040 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 22107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26270244).

22107040 is an abundant number, since it is smaller than the sum of its proper divisors (30433448).

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

22107040 is a wasteful number, since it uses less digits than its factorization.

22107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 22107040 is about 4701.8124165049. The cubic root of 22107040 is about 280.6576378658.

Adding to 22107040 its reverse (4070122), we get a palindrome (26177162).

The spelling of 22107040 in words is "twenty-two million, one hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 233 466 593 932 1165 1186 1864 2330 2372 2965 3728 4660 4744 5930 7456 9320 9488 11860 18640 18976 23720 37280 47440 94880 138169 276338 552676 690845 1105352 1381690 2210704 2763380 4421408 5526760 11053520 22107040