Search a number
-
+
22188140 = 22513611399
BaseRepresentation
bin101010010100…
…1000001101100
31112202021101222
41110221001230
521140010030
62111322512
7356411312
oct124510154
945667358
1022188140
1111585307
127520438
13479b3a0
142d380b2
151e343e5
hex152906c

22188140 has 48 divisors (see below), whose sum is σ = 51038400. Its totient is φ = 8052480.

The previous prime is 22188119. The next prime is 22188163. The reversal of 22188140 is 4188122.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 15161 + ... + 16559.

It is an arithmetic number, because the mean of its divisors is an integer number (1063300).

Almost surely, 222188140 is an apocalyptic number.

22188140 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 22188140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25519200).

22188140 is an abundant number, since it is smaller than the sum of its proper divisors (28850260).

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

22188140 is a wasteful number, since it uses less digits than its factorization.

22188140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 22188140 is about 4710.4288552105. The cubic root of 22188140 is about 281.0004179272. Note that the first 3 decimals are identical.

The spelling of 22188140 in words is "twenty-two million, one hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1399 1586 2798 3172 3965 5596 6995 7930 13990 15860 18187 27980 36374 72748 85339 90935 170678 181870 341356 363740 426695 853390 1109407 1706780 2218814 4437628 5547035 11094070 22188140