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22185144 = 2333271379
BaseRepresentation
bin101010010100…
…0010010111000
31112202010022000
41110220102320
521134411034
62111301000
7356366502
oct124502270
945663260
1022185144
1111583033
12751a760
134799c07
142d36d72
151e33599
hex15284b8

22185144 has 64 divisors (see below), whose sum is σ = 62016000. Its totient is φ = 7348320.

The previous prime is 22185139. The next prime is 22185167. The reversal of 22185144 is 44158122.

It is a super-2 number, since 2×221851442 = 984361228601472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58347 + ... + 58725.

It is an arithmetic number, because the mean of its divisors is an integer number (969000).

Almost surely, 222185144 is an apocalyptic number.

22185144 is a gapful number since it is divisible by the number (24) 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 22185144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31008000).

22185144 is an abundant number, since it is smaller than the sum of its proper divisors (39830856).

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

22185144 is a wasteful number, since it uses less digits than its factorization.

22185144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 655 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 22185144 is about 4710.1108267216. The cubic root of 22185144 is about 280.9877698016.

The spelling of 22185144 in words is "twenty-two million, one hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 271 379 542 758 813 1084 1137 1516 1626 2168 2274 2439 3032 3252 3411 4548 4878 6504 6822 7317 9096 9756 10233 13644 14634 19512 20466 27288 29268 40932 58536 81864 102709 205418 308127 410836 616254 821672 924381 1232508 1848762 2465016 2773143 3697524 5546286 7395048 11092572 22185144