Search a number
-
+
22012200 = 23325271747
BaseRepresentation
bin101001111111…
…0000100101000
31112102100001200
41103332010220
521113342300
62103444200
7355046340
oct123760450
945370050
1022012200
1111475101
127456660
134739292
142ccdd20
151dec200
hex14fe128

22012200 has 144 divisors (see below), whose sum is σ = 84533280. Its totient is φ = 5028480.

The previous prime is 22012187. The next prime is 22012231. The reversal of 22012200 is 221022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11727 + ... + 13473.

Almost surely, 222012200 is an apocalyptic number.

22012200 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 22012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42266640).

22012200 is an abundant number, since it is smaller than the sum of its proper divisors (62521080).

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

22012200 is a wasteful number, since it uses less digits than its factorization.

22012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22012200 is about 4691.7161039432. The cubic root of 22012200 is about 280.2557187667.

Adding to 22012200 its reverse (221022), we get a palindrome (22233222).

The spelling of 22012200 in words is "twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1747 1800 2100 2520 3150 3494 4200 5241 6300 6988 8735 10482 12229 12600 13976 15723 17470 20964 24458 26205 31446 34940 36687 41928 43675 48916 52410 61145 62892 69880 73374 78615 87350 97832 104820 110061 122290 125784 131025 146748 157230 174700 183435 209640 220122 244580 262050 293496 305725 314460 349400 366870 393075 440244 489160 524100 550305 611450 628920 733740 786150 880488 917175 1048200 1100610 1222900 1467480 1572300 1834350 2201220 2445800 2751525 3144600 3668700 4402440 5503050 7337400 11006100 22012200