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222101380 = 22537300137
BaseRepresentation
bin11010011110011…
…11111110000100
3120110220220211001
431033033332010
5423324221010
634012223044
75334554614
oct1517177604
9513826731
10222101380
11104409066
126246aa84
1337025047
14216d6a44
1514772c3a
hexd3cff84

222101380 has 24 divisors (see below), whose sum is σ = 479020248. Its totient is φ = 86439168.

The previous prime is 222101377. The next prime is 222101381. The reversal of 222101380 is 83101222.

222101380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29224836 + 192876544 = 5406^2 + 13888^2 .

It is not an unprimeable number, because it can be changed into a prime (222101381) 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 7 ways as a sum of consecutive naturals, for example, 149329 + ... + 150808.

It is an arithmetic number, because the mean of its divisors is an integer number (19959177).

Almost surely, 2222101380 is an apocalyptic number.

222101380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222101380 is an abundant number, since it is smaller than the sum of its proper divisors (256918868).

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

222101380 is a wasteful number, since it uses less digits than its factorization.

222101380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300183 (or 300181 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 222101380 is about 14903.0661274786. The cubic root of 222101380 is about 605.5970519248.

The spelling of 222101380 in words is "two hundred twenty-two million, one hundred one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 300137 600274 1200548 1500685 3001370 6002740 11105069 22210138 44420276 55525345 111050690 222101380