Search a number
-
+
222001022110000 = 245477574189489
BaseRepresentation
bin110010011110100010100100…
…000100000000100100110000
31002010001002102221012222112011
4302132202210010000210300
5213044231043130010000
62104053510040012304
764522021165543150
oct6236424404004460
91063032387188464
10222001022110000
1164811117476581
1220a95351161094
1396b47b67b5aa3
143cb6c9a396760
151a9eb51a002ba
hexc9e8a4100930

222001022110000 has 200 divisors, whose sum is σ = 615082085852960. Its totient is φ = 76014070272000.

The previous prime is 222001022109991. The next prime is 222001022110033. The reversal of 222001022110000 is 11220100222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50895256 + ... + 55084744.

Almost surely, 2222001022110000 is an apocalyptic number.

222001022110000 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 222001022110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307541042926480).

222001022110000 is an abundant number, since it is smaller than the sum of its proper divisors (393081063742960).

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

222001022110000 is an equidigital number, since it uses as much as digits as its factorization.

222001022110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190281 (or 4190260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 222001022110000 its reverse (11220100222), we get a palindrome (222012242210222).

The spelling of 222001022110000 in words is "two hundred twenty-two trillion, one billion, twenty-two million, one hundred ten thousand".