Search a number
-
+
222320020 = 225134671831
BaseRepresentation
bin11010100000001…
…01010110010100
3120111100000201211
431100011112110
5423403220040
634021031204
75336455216
oct1520052624
9514300654
10222320020
1110454835a
1262555504
13370a0710
14217525b6
15147b78ea
hexd405594

222320020 has 48 divisors (see below), whose sum is σ = 504137088. Its totient is φ = 81866880.

The previous prime is 222320017. The next prime is 222320027. The reversal of 222320020 is 20023222.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222320027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120505 + ... + 122335.

It is an arithmetic number, because the mean of its divisors is an integer number (10502856).

Almost surely, 2222320020 is an apocalyptic number.

222320020 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 222320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252068544).

222320020 is an abundant number, since it is smaller than the sum of its proper divisors (281817068).

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

222320020 is a wasteful number, since it uses less digits than its factorization.

222320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 222320020 is about 14910.3997263655. The cubic root of 222320020 is about 605.7957064238.

Adding to 222320020 its reverse (20023222), we get a palindrome (242343242).

The spelling of 222320020 in words is "two hundred twenty-two million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 467 934 1831 1868 2335 3662 4670 6071 7324 9155 9340 12142 18310 23803 24284 30355 36620 47606 60710 95212 119015 121420 238030 476060 855077 1710154 3420308 4275385 8550770 11116001 17101540 22232002 44464004 55580005 111160010 222320020