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221213500 = 22534310289
BaseRepresentation
bin11010010111101…
…11001100111100
3120102020210212121
431023313030330
5423112313000
633541212324
75324166214
oct1513671474
9512223777
10221213500
11103961a82
12621010a4
1336aa3b81
1421545244
1514649b1a
hexd2f733c

221213500 has 48 divisors (see below), whose sum is σ = 494413920. Its totient is φ = 86419200.

The previous prime is 221213497. The next prime is 221213501. The reversal of 221213500 is 5312122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221213501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16356 + ... + 26644.

It is an arithmetic number, because the mean of its divisors is an integer number (10300290).

Almost surely, 2221213500 is an apocalyptic number.

221213500 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 221213500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247206960).

221213500 is an abundant number, since it is smaller than the sum of its proper divisors (273200420).

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

221213500 is a wasteful number, since it uses less digits than its factorization.

221213500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10351 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 221213500 is about 14873.2477959590. The cubic root of 221213500 is about 604.7889890904.

Adding to 221213500 its reverse (5312122), we get a palindrome (226525622).

The spelling of 221213500 in words is "two hundred twenty-one million, two hundred thirteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 125 172 215 250 430 500 860 1075 2150 4300 5375 10289 10750 20578 21500 41156 51445 102890 205780 257225 442427 514450 884854 1028900 1286125 1769708 2212135 2572250 4424270 5144500 8848540 11060675 22121350 44242700 55303375 110606750 221213500