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221110020 = 22335409463
BaseRepresentation
bin11010010110111…
…01111100000100
3120102001112221000
431023131330010
5423101010040
633535053300
75323255425
oct1513357404
9512045830
10221110020
111038a125a
1262071230
1336a68a41
142151964c
1514629130
hexd2ddf04

221110020 has 48 divisors (see below), whose sum is σ = 687899520. Its totient is φ = 58962528.

The previous prime is 221110013. The next prime is 221110027. The reversal of 221110020 is 20011122.

It is an interprime number because it is at equal distance from previous prime (221110013) and next prime (221110027).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 221109984 and 221110011.

It is not an unprimeable number, because it can be changed into a prime (221110027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204192 + ... + 205271.

It is an arithmetic number, because the mean of its divisors is an integer number (14331240).

Almost surely, 2221110020 is an apocalyptic number.

221110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221110020 is an abundant number, since it is smaller than the sum of its proper divisors (466789500).

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

221110020 is a wasteful number, since it uses less digits than its factorization.

221110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409481 (or 409473 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 221110020 is about 14869.7686599355. The cubic root of 221110020 is about 604.6946709684.

Adding to 221110020 its reverse (20011122), we get a palindrome (241121142).

The spelling of 221110020 in words is "two hundred twenty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 409463 818926 1228389 1637852 2047315 2456778 3685167 4094630 4913556 6141945 7370334 8189260 11055501 12283890 14740668 18425835 22111002 24567780 36851670 44222004 55277505 73703340 110555010 221110020