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22053042 = 23211127877
BaseRepresentation
bin101010000100…
…0000010110010
31112111102002100
41110020002302
521121144132
62104401230
7355306404
oct124100262
945442070
1022053042
11114a2860
127476216
134751a4b
142d00b74
151e0937c
hex15080b2

22053042 has 48 divisors (see below), whose sum is σ = 52595712. Its totient is φ = 6622560.

The previous prime is 22052993. The next prime is 22053061. The reversal of 22053042 is 24035022.

It is a super-2 number, since 2×220530422 = 972673322907528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 24708 + ... + 25584.

It is an arithmetic number, because the mean of its divisors is an integer number (1095744).

Almost surely, 222053042 is an apocalyptic number.

22053042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22053042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26297856).

22053042 is an abundant number, since it is smaller than the sum of its proper divisors (30542670).

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

22053042 is a wasteful number, since it uses less digits than its factorization.

22053042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22053042 is about 4696.0666519972. The cubic root of 22053042 is about 280.4289428903.

Adding to 22053042 its reverse (24035022), we get a palindrome (46088064).

The spelling of 22053042 in words is "twenty-two million, fifty-three thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 381 762 877 1143 1397 1754 2286 2631 2794 4191 5262 7893 8382 9647 12573 15786 19294 25146 28941 57882 86823 111379 173646 222758 334137 668274 1002411 1225169 2004822 2450338 3675507 7351014 11026521 22053042