Search a number
-
+
221120200 = 23527592677
BaseRepresentation
bin11010010111000…
…00011011001000
3120102002001220001
431023200123020
5423101321300
633535212344
75323330210
oct1513403310
9512061801
10221120200
111038a8974
12620770b4
1336a70572
142151d240
151462c16a
hexd2e06c8

221120200 has 96 divisors (see below), whose sum is σ = 597729600. Its totient is φ = 74499840.

The previous prime is 221120197. The next prime is 221120219. The reversal of 221120200 is 2021122.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 81262 + ... + 83938.

It is an arithmetic number, because the mean of its divisors is an integer number (6226350).

Almost surely, 2221120200 is an apocalyptic number.

221120200 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 221120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298864800).

221120200 is an abundant number, since it is smaller than the sum of its proper divisors (376609400).

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

221120200 is a wasteful number, since it uses less digits than its factorization.

221120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 221120200 is about 14870.1109612538. The cubic root of 221120200 is about 604.7039509598.

Adding to 221120200 its reverse (2021122), we get a palindrome (223141322).

The spelling of 221120200 in words is "two hundred twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 59 70 100 118 140 175 200 236 280 295 350 413 472 590 700 826 1180 1400 1475 1652 2065 2360 2677 2950 3304 4130 5354 5900 8260 10325 10708 11800 13385 16520 18739 20650 21416 26770 37478 41300 53540 66925 74956 82600 93695 107080 133850 149912 157943 187390 267700 315886 374780 468475 535400 631772 749560 789715 936950 1105601 1263544 1579430 1873900 2211202 3158860 3747800 3948575 4422404 5528005 6317720 7897150 8844808 11056010 15794300 22112020 27640025 31588600 44224040 55280050 110560100 221120200