Search a number
-
+
244020212212200 = 2335219375310915493
BaseRepresentation
bin110111011110111101100010…
…000100010010000111101000
31012000000002211011002112110220
4313132331202010102013220
5223441011343311242300
62222553200553410040
7102253610224351014
oct6736754204220750
91160002734075426
10244020212212200
1170830433222196
1223450903409920
13a621012c9b738
1444388d99a5544
151d327d444eda0
hexddef621121e8

244020212212200 has 384 divisors, whose sum is σ = 833227685193600. Its totient is φ = 58849346949120.

The previous prime is 244020212212169. The next prime is 244020212212223. The reversal of 244020212212200 is 2212212020442.

244020212212200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16897654 + ... + 27813146.

It is an arithmetic number, because the mean of its divisors is an integer number (2169863763525).

Almost surely, 2244020212212200 is an apocalyptic number.

244020212212200 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 244020212212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416613842596800).

244020212212200 is an abundant number, since it is smaller than the sum of its proper divisors (589207472981400).

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

244020212212200 is a wasteful number, since it uses less digits than its factorization.

244020212212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10915621 (or 10915612 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 244020212212200 its reverse (2212212020442), we get a palindrome (246232424232642).

The spelling of 244020212212200 in words is "two hundred forty-four trillion, twenty billion, two hundred twelve million, two hundred twelve thousand, two hundred".