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221021130 = 235115312637
BaseRepresentation
bin11010010110010…
…00001111001010
3120101220000222210
431023020033022
5423040134010
633533125550
75322435321
oct1513101712
9511800883
10221021130
111038404a0
12620298b6
1336a37445
14214d50b8
151460cb20
hexd2c83ca

221021130 has 64 divisors (see below), whose sum is σ = 589638528. Its totient is φ = 52565760.

The previous prime is 221021111. The next prime is 221021137. The reversal of 221021130 is 31120122.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221021137) 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 31 ways as a sum of consecutive naturals, for example, 11172 + ... + 23808.

It is an arithmetic number, because the mean of its divisors is an integer number (9213102).

Almost surely, 2221021130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221021130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294819264).

221021130 is an abundant number, since it is smaller than the sum of its proper divisors (368617398).

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

221021130 is a wasteful number, since it uses less digits than its factorization.

221021130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12711.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 221021130 is about 14866.7794091390. The cubic root of 221021130 is about 604.6136275827.

Adding to 221021130 its reverse (31120122), we get a palindrome (252141252).

It can be divided in two parts, 22102 and 1130, that added together give a palindrome (23232).

The spelling of 221021130 in words is "two hundred twenty-one million, twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1590 1749 2915 3498 5830 8745 12637 17490 25274 37911 63185 75822 126370 139007 189555 278014 379110 417021 669761 695035 834042 1339522 1390070 2009283 2085105 3348805 4018566 4170210 6697610 7367371 10046415 14734742 20092830 22102113 36836855 44204226 73673710 110510565 221021130