Search a number
-
+
22048470 = 2335127643
BaseRepresentation
bin101010000011…
…0111011010110
31112111011211000
41110012323112
521121022340
62104324130
7355260153
oct124067326
945434730
1022048470
111149a384
127473646
13474c942
142cdd22a
151e07d30
hex1506ed6

22048470 has 64 divisors (see below), whose sum is σ = 59351040. Its totient is φ = 5824224.

The previous prime is 22048469. The next prime is 22048483. The reversal of 22048470 is 7484022.

It is a super-2 number, since 2×220484702 = 972270058681800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33969 + ... + 34611.

It is an arithmetic number, because the mean of its divisors is an integer number (927360).

Almost surely, 222048470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22048470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29675520).

22048470 is an abundant number, since it is smaller than the sum of its proper divisors (37302570).

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

22048470 is a wasteful number, since it uses less digits than its factorization.

22048470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22048470 is about 4695.5798363993. The cubic root of 22048470 is about 280.4095621968.

The spelling of 22048470 in words is "twenty-two million, forty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 127 135 254 270 381 635 643 762 1143 1270 1286 1905 1929 2286 3215 3429 3810 3858 5715 5787 6430 6858 9645 11430 11574 17145 17361 19290 28935 34290 34722 57870 81661 86805 163322 173610 244983 408305 489966 734949 816610 1224915 1469898 2204847 2449830 3674745 4409694 7349490 11024235 22048470