Search a number
-
+
22202121200 = 2452743613023
BaseRepresentation
bin10100101011010110…
…010111101111110000
32010022022012121122012
4110223112113233300
5330432220334300
614111032302052
71414121626220
oct245326275760
963268177565
1022202121200
1194635782a6
124377541928
13212a99c92c
141108956080
1589e256435
hex52b597bf0

22202121200 has 240 divisors, whose sum is σ = 63421940736. Its totient is φ = 7310822400.

The previous prime is 22202121199. The next prime is 22202121209. The reversal of 22202121200 is 212120222.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202121209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7342889 + ... + 7345911.

Almost surely, 222202121200 is an apocalyptic number.

22202121200 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 22202121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31710970368).

22202121200 is an abundant number, since it is smaller than the sum of its proper divisors (41219819536).

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

22202121200 is a wasteful number, since it uses less digits than its factorization.

22202121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22202121200 its reverse (212120222), we get a palindrome (22414241422).

The spelling of 22202121200 in words is "twenty-two billion, two hundred two million, one hundred twenty-one thousand, two hundred".