Search a number
-
+
222120201072 = 243721123336847
BaseRepresentation
bin1100111011011101100…
…1010100101101110000
3210020022221100022211210
43032313121110231300
512114400232413242
6250012434440120
722022226362100
oct3166731245560
9706287308753
10222120201072
1186223076710
123706b733040
1317c3b038753
14aa71bd1200
155ba03e7d9c
hex33b7654b70

222120201072 has 240 divisors, whose sum is σ = 731320192512. Its totient is φ = 57444387840.

The previous prime is 222120201001. The next prime is 222120201073. The reversal of 222120201072 is 270102021222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120201073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6009753 + ... + 6046599.

Almost surely, 2222120201072 is an apocalyptic number.

222120201072 is a gapful number since it is divisible by the number (22) 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 222120201072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365660096256).

222120201072 is an abundant number, since it is smaller than the sum of its proper divisors (509199991440).

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

222120201072 is a wasteful number, since it uses less digits than its factorization.

222120201072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37116 (or 37103 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 222120201072 its reverse (270102021222), we get a palindrome (492222222294).

The spelling of 222120201072 in words is "two hundred twenty-two billion, one hundred twenty million, two hundred one thousand, seventy-two".