Search a number
-
+
22199980 = 225111947113
BaseRepresentation
bin101010010101…
…1111010101100
31112202212122111
41110223322230
521140344410
62111453404
7356460655
oct124537254
945685574
1022199980
11115931a0
127527264
1347a38aa
142d3c52c
151e37b8a
hex152beac

22199980 has 96 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 7418880.

The previous prime is 22199971. The next prime is 22200001. The reversal of 22199980 is 8999122.

It is a super-2 number, since 2×221999802 = 985678224000800, which contains 22 as substring.

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, 196404 + ... + 196516.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 222199980 is an apocalyptic number.

22199980 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 22199980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

22199980 is an abundant number, since it is smaller than the sum of its proper divisors (32957780).

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

22199980 is a wasteful number, since it uses less digits than its factorization.

22199980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 22199980 is about 4711.6854733736. The cubic root of 22199980 is about 281.0503913715.

It can be divided in two parts, 22 and 199980, that added together give a palindrome (200002).

The spelling of 22199980 in words is "twenty-two million, one hundred ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 47 55 76 94 95 110 113 188 190 209 220 226 235 380 418 452 470 517 565 836 893 940 1034 1045 1130 1243 1786 2068 2090 2147 2260 2486 2585 3572 4180 4294 4465 4972 5170 5311 6215 8588 8930 9823 10340 10622 10735 12430 17860 19646 21244 21470 23617 24860 26555 39292 42940 47234 49115 53110 58421 94468 98230 100909 106220 116842 118085 196460 201818 233684 236170 292105 403636 472340 504545 584210 1009090 1109999 1168420 2018180 2219998 4439996 5549995 11099990 22199980