Search a number
-
+
22022220000 = 253541161547
BaseRepresentation
bin10100100000101000…
…000110100011100000
32002211202200200120210
4110200220012203200
5330100142020000
614041124334120
71406505532014
oct244050064340
962752620523
1022022220000
119380a72920
124327244340
1320cc631a11
1410ccac6544
1588d56c350
hex520a068e0

22022220000 has 480 divisors, whose sum is σ = 80242614144. Its totient is φ = 5241600000.

The previous prime is 22022219981. The next prime is 22022220001. The reversal of 22022220000 is 2222022.

It is a tau number, because it is divible by the number of its divisors (480).

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 (22022220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40259727 + ... + 40260273.

Almost surely, 222022220000 is an apocalyptic number.

22022220000 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 22022220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40121307072).

22022220000 is an abundant number, since it is smaller than the sum of its proper divisors (58220394144).

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

22022220000 is a wasteful number, since it uses less digits than its factorization.

22022220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 629 counting only the distinct ones).

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

Adding to 22022220000 its reverse (2222022), we get a palindrome (22024442022).

The spelling of 22022220000 in words is "twenty-two billion, twenty-two million, two hundred twenty thousand".