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220020102000 = 24325373167443
BaseRepresentation
bin1100110011101000111…
…0000101001101110000
3210000220120122020111200
43030322032011031300
512101100121231000
6245024214211200
721616206003216
oct3147216051560
9700816566450
10220020102000
1185345680146
1236784353b00
1317994c1478a
14a912d1acb6
155acad61500
hex333a385370

220020102000 has 240 divisors, whose sum is σ = 778988335008. Its totient is φ = 57867955200.

The previous prime is 220020101923. The next prime is 220020102007. The reversal of 220020102000 is 201020022.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220020102007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1230279 + ... + 1397721.

Almost surely, 2220020102000 is an apocalyptic number.

220020102000 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 220020102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389494167504).

220020102000 is an abundant number, since it is smaller than the sum of its proper divisors (558968233008).

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

220020102000 is a wasteful number, since it uses less digits than its factorization.

220020102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167545 (or 167526 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 220020102000 its reverse (201020022), we get a palindrome (220221122022).

It can be divided in two parts, 2 and 20020102000, that added together give a palindrome (20020102002).

The spelling of 220020102000 in words is "two hundred twenty billion, twenty million, one hundred two thousand".