Search a number
-
+
2102020200 = 233352755609
BaseRepresentation
bin111110101001010…
…0100100001101000
312102111022200122000
41331102210201220
513301104121300
6544325331000
7103042606530
oct17522444150
95374280560
102102020200
11989598985
124a7b66a60
13276647547
1415d2544c0
15c4815c00
hex7d4a4868

2102020200 has 192 divisors, whose sum is σ = 8274768000. Its totient is φ = 480453120.

The previous prime is 2102020183. The next prime is 2102020211. The reversal of 2102020200 is 20202012.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9996 + ... + 65604.

It is an arithmetic number, because the mean of its divisors is an integer number (43097750).

Almost surely, 22102020200 is an apocalyptic number.

2102020200 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 2102020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137384000).

2102020200 is an abundant number, since it is smaller than the sum of its proper divisors (6172747800).

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

2102020200 is a wasteful number, since it uses less digits than its factorization.

2102020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55641 (or 55626 counting only the distinct ones).

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

The square root of 2102020200 is about 45847.7938400530. The cubic root of 2102020200 is about 1280.9896724318.

Adding to 2102020200 its reverse (20202012), we get a palindrome (2122222212).

The spelling of 2102020200 in words is "two billion, one hundred two million, twenty thousand, two hundred".