Search a number
-
+
222442404000 = 25353109170063
BaseRepresentation
bin1100111100101010011…
…0011011100010100000
3210021011101121221011120
43033022212123202200
512121030223412000
6250104424412240
722033221144165
oct3171246334240
9707141557146
10222442404000
1186378a35523
123713b617080
1317c8ca0b57b
14aaa290406c
155bbd8406a0
hex33ca99b8a0

222442404000 has 192 divisors, whose sum is σ = 735411156480. Its totient is φ = 58773427200.

The previous prime is 222442403999. The next prime is 222442404011. The reversal of 222442404000 is 404244222.

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 31 ways as a sum of consecutive naturals, for example, 1222969 + ... + 1393031.

It is an arithmetic number, because the mean of its divisors is an integer number (3830266440).

Almost surely, 2222442404000 is an apocalyptic number.

222442404000 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 222442404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367705578240).

222442404000 is an abundant number, since it is smaller than the sum of its proper divisors (512968752480).

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

222442404000 is a wasteful number, since it uses less digits than its factorization.

222442404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170200 (or 170182 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 222442404000 its reverse (404244222), we get a palindrome (222846648222).

The spelling of 222442404000 in words is "two hundred twenty-two billion, four hundred forty-two million, four hundred four thousand".