Search a number
-
+
20222010100 = 2252509397289
BaseRepresentation
bin10010110101010100…
…110110001011110100
31221012022021112212001
4102311110312023310
5312403313310400
613142335505044
71314056151445
oct226524661364
957168245761
1020222010100
118637885546
123b04388184
131ba369a266
14d9b9972cc
157d54c1a6a
hex4b55362f4

20222010100 has 36 divisors (see below), whose sum is σ = 43968084300. Its totient is φ = 8072892160.

The previous prime is 20222010089. The next prime is 20222010131. The reversal of 20222010100 is 101022202.

It can be written as a sum of positive squares in 6 ways, for example, as 141419664 + 20080590436 = 11892^2 + 141706^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147745 + ... + 249544.

It is an arithmetic number, because the mean of its divisors is an integer number (1221335675).

Almost surely, 220222010100 is an apocalyptic number.

20222010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222010100 is an abundant number, since it is smaller than the sum of its proper divisors (23746074200).

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

20222010100 is a wasteful number, since it uses less digits than its factorization.

20222010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397812 (or 397805 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20222010100 its reverse (101022202), we get a palindrome (20323032302).

The spelling of 20222010100 in words is "twenty billion, two hundred twenty-two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 509 1018 2036 2545 5090 10180 12725 25450 50900 397289 794578 1589156 1986445 3972890 7945780 9932225 19864450 39728900 202220101 404440202 808880404 1011100505 2022201010 4044402020 5055502525 10111005050 20222010100