Search a number
-
+
22220113200 = 24352293717257
BaseRepresentation
bin10100101100011011…
…000000010100110000
32010100120001201000120
4110230123000110300
5331001322110300
614112514050240
71414430563065
oct245433002460
963316051016
1022220113200
119472746a1a
124381579980
13213162c09c
14110b0bac6c
158a0b0c3a0
hex52c6c0530

22220113200 has 240 divisors, whose sum is σ = 75627317280. Its totient is φ = 5566095360.

The previous prime is 22220113187. The next prime is 22220113213. The reversal of 22220113200 is 231102222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22220113187) and next prime (22220113213).

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22220113200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1278972 + ... + 1296228.

It is an arithmetic number, because the mean of its divisors is an integer number (315113822).

Almost surely, 222220113200 is an apocalyptic number.

22220113200 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 22220113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37813658640).

22220113200 is an abundant number, since it is smaller than the sum of its proper divisors (53407204080).

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

22220113200 is a wasteful number, since it uses less digits than its factorization.

22220113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17344 (or 17333 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22220113200 its reverse (231102222), we get a palindrome (22451215422).

The spelling of 22220113200 in words is "twenty-two billion, two hundred twenty million, one hundred thirteen thousand, two hundred".