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22142406 = 231113131197
BaseRepresentation
bin101010001110…
…1110111000110
31112122221200010
41110131313012
521132024111
62110331050
7356131056
oct124356706
945587603
1022142406
1111553a10
1274b9a86
134783620
142d25566
151e25aa6
hex151ddc6

22142406 has 64 divisors (see below), whose sum is σ = 52690176. Its totient is φ = 6115200.

The previous prime is 22142387. The next prime is 22142411. The reversal of 22142406 is 60424122.

It is a super-2 number, since 2×221424062 = 980572286937672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112300 + ... + 112496.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 222142406 is an apocalyptic number.

22142406 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 22142406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26345088).

22142406 is an abundant number, since it is smaller than the sum of its proper divisors (30547770).

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

22142406 is a wasteful number, since it uses less digits than its factorization.

22142406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 22142406 is about 4705.5718037238. The cubic root of 22142406 is about 280.8072199262.

Adding to 22142406 its reverse (60424122), we get a palindrome (82566528).

The spelling of 22142406 in words is "twenty-two million, one hundred forty-two thousand, four hundred six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 131 143 197 262 286 393 394 429 591 786 858 1182 1441 1703 2167 2561 2882 3406 4323 4334 5109 5122 6501 7683 8646 10218 13002 15366 18733 25807 28171 37466 51614 56199 56342 77421 84513 112398 154842 169026 283877 335491 567754 670982 851631 1006473 1703262 2012946 3690401 7380802 11071203 22142406