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222101020 = 225431012557
BaseRepresentation
bin11010011110011…
…11111000011100
3120110220220022201
431033033320130
5423324213040
634012221244
75334553561
oct1517177034
9513826281
10222101020
11104408869
126246a824
1337024b2b
14216d6868
1514772a9a
hexd3cfe1c

222101020 has 48 divisors (see below), whose sum is σ = 482172768. Its totient is φ = 85881600.

The previous prime is 222101017. The next prime is 222101023. The reversal of 222101020 is 20101222.

It is an interprime number because it is at equal distance from previous prime (222101017) and next prime (222101023).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 222100988 and 222101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222101023) 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, 85582 + ... + 88138.

It is an arithmetic number, because the mean of its divisors is an integer number (10045266).

Almost surely, 2222101020 is an apocalyptic number.

222101020 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 222101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241086384).

222101020 is an abundant number, since it is smaller than the sum of its proper divisors (260071748).

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

222101020 is a wasteful number, since it uses less digits than its factorization.

222101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 222101020 is about 14903.0540494222. The cubic root of 222101020 is about 605.5967247243.

Adding to 222101020 its reverse (20101222), we get a palindrome (242202242).

The spelling of 222101020 in words is "two hundred twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 101 172 202 215 404 430 505 860 1010 2020 2557 4343 5114 8686 10228 12785 17372 21715 25570 43430 51140 86860 109951 219902 258257 439804 516514 549755 1033028 1099510 1291285 2199020 2582570 5165140 11105051 22210102 44420204 55525255 111050510 222101020