Search a number
-
+
222002020110000 = 24354133171795697
BaseRepresentation
bin110010011110100011011111…
…100011000100111010110000
31002010001012000111010122011010
4302132203133203010322300
5213044240114122010000
62104054153050350520
764522055004444144
oct6236433743047260
91063035014118133
10222002020110000
1164811589853769
1220a9558b42b440
1396b49154a2830
143cb6d52b43224
151a9ebae438d50
hexc9e8df8c4eb0

222002020110000 has 400 divisors, whose sum is σ = 774214273302624. Its totient is φ = 54474233856000.

The previous prime is 222002020109921. The next prime is 222002020110019. The reversal of 222002020110000 is 11020200222.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122732152 + ... + 124527848.

Almost surely, 2222002020110000 is an apocalyptic number.

222002020110000 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 222002020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387107136651312).

222002020110000 is an abundant number, since it is smaller than the sum of its proper divisors (552212253192624).

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

222002020110000 is a wasteful number, since it uses less digits than its factorization.

222002020110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796058 (or 1796037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 222002020110000 its reverse (11020200222), we get a palindrome (222013040310222).

The spelling of 222002020110000 in words is "two hundred twenty-two trillion, two billion, twenty million, one hundred ten thousand".