Search a number
-
+
222112110000 = 24354113718191
BaseRepresentation
bin1100111011011011101…
…0011101010110110000
3210020022101010020222110
43032312322131112300
512114341200010000
6250011545205320
722022100533004
oct3166672352660
9706271106873
10222112110000
118621954a780
1237068a90840
1317c39464a31
14aa70ac6704
155b9e84a850
hex33b6e9d5b0

222112110000 has 400 divisors, whose sum is σ = 803374437888. Its totient is φ = 52387200000.

The previous prime is 222112109987. The next prime is 222112110023. The reversal of 222112110000 is 11211222.

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, 12200905 + ... + 12219095.

Almost surely, 2222112110000 is an apocalyptic number.

222112110000 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 222112110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401687218944).

222112110000 is an abundant number, since it is smaller than the sum of its proper divisors (581262327888).

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

222112110000 is a wasteful number, since it uses less digits than its factorization.

222112110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18270 (or 18249 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 222112110000 its reverse (11211222), we get a palindrome (222123321222).

The spelling of 222112110000 in words is "two hundred twenty-two billion, one hundred twelve million, one hundred ten thousand".