Search a number
-
+
222003113220000 = 253254721719149523
BaseRepresentation
bin110010011110100100100000…
…101100111101011110100000
31002010001021211200000101011200
4302132210200230331132200
5213044244333441020000
62104054453335441200
764522124046642600
oct6236444054753640
91063037750011150
10222003113220000
1164811a9a892462
1220a95835526200
1396b4a5aab0398
143cb7017daac00
151a9ec253ad500
hexc9e920b3d7a0

222003113220000 has 4320 divisors, whose sum is σ = 1031655833208000. Its totient is φ = 44855451648000.

The previous prime is 222003113219861. The next prime is 222003113220001. The reversal of 222003113220000 is 22311300222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (222003113220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 424480139739 + ... + 424480140261.

It is an arithmetic number, because the mean of its divisors is an integer number (238809220650).

Almost surely, 2222003113220000 is an apocalyptic number.

222003113220000 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 222003113220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515827916604000).

222003113220000 is an abundant number, since it is smaller than the sum of its proper divisors (809652719988000).

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

222003113220000 is a wasteful number, since it uses less digits than its factorization.

222003113220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 222003113220000 its reverse (22311300222), we get a palindrome (222025424520222).

The spelling of 222003113220000 in words is "two hundred twenty-two trillion, three billion, one hundred thirteen million, two hundred twenty thousand".