Search a number
-
+
22048180 = 225711103139
BaseRepresentation
bin101010000011…
…0110110110100
31112111011102021
41110012312310
521121020210
62104322524
7355256260
oct124066664
945434367
1022048180
111149a140
127473444
13474c77b
142cdd0a0
151e07bda
hex1506db4

22048180 has 96 divisors (see below), whose sum is σ = 58705920. Its totient is φ = 6756480.

The previous prime is 22048177. The next prime is 22048219. The reversal of 22048180 is 8184022.

It is a super-2 number, since 2×220481802 = 972244482624800, 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, 158551 + ... + 158689.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 222048180 is an apocalyptic number.

22048180 is a gapful number since it is divisible by the number (20) 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 22048180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352960).

22048180 is an abundant number, since it is smaller than the sum of its proper divisors (36657740).

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

22048180 is a wasteful number, since it uses less digits than its factorization.

22048180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 22048180 is about 4695.5489561924. The cubic root of 22048180 is about 280.4083327974.

It can be divided in two parts, 220 and 48180, that added together give a square (48400 = 2202).

The spelling of 22048180 in words is "twenty-two million, forty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 103 110 139 140 154 206 220 278 308 385 412 515 556 695 721 770 973 1030 1133 1390 1442 1529 1540 1946 2060 2266 2780 2884 3058 3605 3892 4532 4865 5665 6116 7210 7645 7931 9730 10703 11330 14317 14420 15290 15862 19460 21406 22660 28634 30580 31724 39655 42812 53515 57268 71585 79310 100219 107030 143170 157487 158620 200438 214060 286340 314974 400876 501095 629948 787435 1002190 1102409 1574870 2004380 2204818 3149740 4409636 5512045 11024090 22048180