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220213100020 = 22541614402501
BaseRepresentation
bin1100110100010110111…
…0010011110111110100
3210001102000210120000111
43031011232103313310
512101444023200040
6245055310552404
721624041315524
oct3150556236764
9701360716014
10220213100020
1185434610441
1236818b08704
13179c5bb99a4
14a9307d9684
155adcc85dea
hex3345b93df4

220213100020 has 48 divisors (see below), whose sum is σ = 481492838736. Its totient is φ = 84528000000.

The previous prime is 220213099999. The next prime is 220213100027. The reversal of 220213100020 is 20001312022.

It can be written as a sum of positive squares in 8 ways, for example, as 137145790224 + 83067309796 = 370332^2 + 288214^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220213100027) 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, 2151231 + ... + 2251270.

It is an arithmetic number, because the mean of its divisors is an integer number (10031100807).

Almost surely, 2220213100020 is an apocalyptic number.

220213100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220213100020 is an abundant number, since it is smaller than the sum of its proper divisors (261279738716).

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

220213100020 is a wasteful number, since it uses less digits than its factorization.

220213100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402612 (or 4402610 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 220213100020 its reverse (20001312022), we get a palindrome (240214412042).

The spelling of 220213100020 in words is "two hundred twenty billion, two hundred thirteen million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 610 820 1220 2501 5002 10004 12505 25010 50020 4402501 8805002 17610004 22012505 44025010 88050020 180502541 268552561 361005082 537105122 722010164 902512705 1074210244 1342762805 1805025410 2685525610 3610050820 5371051220 11010655001 22021310002 44042620004 55053275005 110106550010 220213100020