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221340200 = 235210710343
BaseRepresentation
bin11010011000101…
…10001000101000
3120102111020200012
431030112020220
5423130341300
633544031052
75325234464
oct1514261050
9512436605
10221340200
11103a39194
1262162488
1336b19743
14215794a4
1514672435
hexd316228

221340200 has 48 divisors (see below), whose sum is σ = 519475680. Its totient is φ = 87700160.

The previous prime is 221340199. The next prime is 221340233. The reversal of 221340200 is 2043122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16229 + ... + 26571.

It is an arithmetic number, because the mean of its divisors is an integer number (10822410).

Almost surely, 2221340200 is an apocalyptic number.

221340200 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 221340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259737840).

221340200 is an abundant number, since it is smaller than the sum of its proper divisors (298135480).

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

221340200 is a wasteful number, since it uses less digits than its factorization.

221340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10466 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 221340200 is about 14877.5065115092. The cubic root of 221340200 is about 604.9044313219.

Adding to 221340200 its reverse (2043122), we get a palindrome (223383322).

The spelling of 221340200 in words is "two hundred twenty-one million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 2140 2675 4280 5350 10343 10700 20686 21400 41372 51715 82744 103430 206860 258575 413720 517150 1034300 1106701 2068600 2213402 4426804 5533505 8853608 11067010 22134020 27667525 44268040 55335050 110670100 221340200