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221234200 = 235211227443
BaseRepresentation
bin11010010111111…
…00010000011000
3120102021212021021
431023330100120
5423113443300
633541452224
75324313445
oct1513742030
9512255237
10221234200
11103976590
1262111074
1336ab0415
142154c9cc
1514650d1a
hexd2fc418

221234200 has 96 divisors (see below), whose sum is σ = 564874560. Its totient is φ = 79913600.

The previous prime is 221234191. The next prime is 221234203. The reversal of 221234200 is 2432122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221234203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499179 + ... + 499621.

It is an arithmetic number, because the mean of its divisors is an integer number (5884110).

Almost surely, 2221234200 is an apocalyptic number.

221234200 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 221234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282437280).

221234200 is an abundant number, since it is smaller than the sum of its proper divisors (343640360).

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

221234200 is a wasteful number, since it uses less digits than its factorization.

221234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 221234200 is about 14873.9436599713. The cubic root of 221234200 is about 604.8078528300.

Adding to 221234200 its reverse (2432122), we get a palindrome (223666322).

The spelling of 221234200 in words is "two hundred twenty-one million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 227 275 440 443 454 550 886 908 1100 1135 1772 1816 2200 2215 2270 2497 3544 4430 4540 4873 4994 5675 8860 9080 9746 9988 11075 11350 12485 17720 19492 19976 22150 22700 24365 24970 38984 44300 45400 48730 49940 62425 88600 97460 99880 100561 121825 124850 194920 201122 243650 249700 402244 487300 499400 502805 804488 974600 1005610 1106171 2011220 2212342 2514025 4022440 4424684 5028050 5530855 8849368 10056100 11061710 20112200 22123420 27654275 44246840 55308550 110617100 221234200