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22434126 = 23112132377
BaseRepresentation
bin101010110010…
…1000101001110
31120012202211120
41111211011032
521220343001
62120501410
7361454421
oct125450516
946182746
1022434126
1111733100
12761a866
134856340
142d9d9b8
151e82236
hex156514e

22434126 has 48 divisors (see below), whose sum is σ = 53134032. Its totient is φ = 6272640.

The previous prime is 22434109. The next prime is 22434133. The reversal of 22434126 is 62143422.

It is a junction number, because it is equal to n+sod(n) for n = 22434096 and 22434105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8250 + ... + 10626.

It is an arithmetic number, because the mean of its divisors is an integer number (1106959).

Almost surely, 222434126 is an apocalyptic number.

22434126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22434126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26567016).

22434126 is an abundant number, since it is smaller than the sum of its proper divisors (30699906).

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

22434126 is a wasteful number, since it uses less digits than its factorization.

22434126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2406 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 22434126 is about 4736.4676711659. The cubic root of 22434126 is about 282.0350290976.

Adding to 22434126 its reverse (62143422), we get a palindrome (84577548).

The spelling of 22434126 in words is "twenty-two million, four hundred thirty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1573 2377 3146 4719 4754 7131 9438 14262 26147 30901 52294 61802 78441 92703 156882 185406 287617 339911 575234 679822 862851 1019733 1725702 2039466 3739021 7478042 11217063 22434126