Search a number
-
+
222572593152 = 214347131997
BaseRepresentation
bin1100111101001001011…
…1000100000000000000
3210021111110121020010000
43033102113010000000
512121312040440102
6250125355040000
722036361553330
oct3172227040000
9707443536100
10222572593152
1186435476568
1237177140000
1317cb0992180
14aab5d130c0
155bc9eaa01c
hex33d25c4000

222572593152 has 1200 divisors, whose sum is σ = 870354432640. Its totient is φ = 55037657088.

The previous prime is 222572593129. The next prime is 222572593169. The reversal of 222572593152 is 251395275222.

222572593152 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 7 + 2 + 593 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 222572593098 and 222572593107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2294562768 + ... + 2294562864.

Almost surely, 2222572593152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222572593152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435177216320).

222572593152 is an abundant number, since it is smaller than the sum of its proper divisors (647781839488).

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

222572593152 is an equidigital number, since it uses as much as digits as its factorization.

222572593152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 141 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 222572593152 in words is "two hundred twenty-two billion, five hundred seventy-two million, five hundred ninety-three thousand, one hundred fifty-two".