Search a number
-
+
22042200 = 23352172161
BaseRepresentation
bin101010000010…
…1011001011000
31112110212012210
41110011121120
521120322300
62104235120
7355232655
oct124053130
945425183
1022042200
11114956a4
12746baa0
134749b2b
142cdac2c
151e06050
hex1505658

22042200 has 96 divisors (see below), whose sum is σ = 72383760. Its totient is φ = 5529600.

The previous prime is 22042199. The next prime is 22042213. The reversal of 22042200 is 224022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9120 + ... + 11280.

Almost surely, 222042200 is an apocalyptic number.

22042200 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 22042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36191880).

22042200 is an abundant number, since it is smaller than the sum of its proper divisors (50341560).

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

22042200 is a wasteful number, since it uses less digits than its factorization.

22042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22042200 is about 4694.9121397530. The cubic root of 22042200 is about 280.3829793298.

Adding to 22042200 its reverse (224022), we get a palindrome (22266222).

The spelling of 22042200 in words is "twenty-two million, forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2161 2550 3400 4322 5100 6483 8644 10200 10805 12966 17288 21610 25932 32415 36737 43220 51864 54025 64830 73474 86440 108050 110211 129660 146948 162075 183685 216100 220422 259320 293896 324150 367370 432200 440844 551055 648300 734740 881688 918425 1102110 1296600 1469480 1836850 2204220 2755275 3673700 4408440 5510550 7347400 11021100 22042200