Search a number
-
+
20220022200 = 23352723209317
BaseRepresentation
bin10010110101001101…
…010000110110111000
31221012011112112222010
4102311031100312320
5312402311202300
613142225125520
71314033232020
oct226515206670
957164475863
1020220022200
118636747a54
123b037898a0
131ba31524a1
14d9b5daa80
157d522ca50
hex4b5350db8

20220022200 has 192 divisors, whose sum is σ = 74751644160. Its totient is φ = 4420753920.

The previous prime is 20220022181. The next prime is 20220022201. The reversal of 20220022200 is 222002202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8059 + ... + 201258.

It is an arithmetic number, because the mean of its divisors is an integer number (389331480).

Almost surely, 220220022200 is an apocalyptic number.

20220022200 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 20220022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37375822080).

20220022200 is an abundant number, since it is smaller than the sum of its proper divisors (54531621960).

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

20220022200 is a wasteful number, since it uses less digits than its factorization.

20220022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209366 (or 209357 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20220022200 its reverse (222002202), we get a palindrome (20442024402).

It can be divided in two parts, 2022002 and 2200, that added together give a palindrome (2024202).

The spelling of 20220022200 in words is "twenty billion, two hundred twenty million, twenty-two thousand, two hundred".