Search a number
-
+
222455233000 = 235371121389227
BaseRepresentation
bin1100111100101101011…
…1010111100111101000
3210021012021202201020201
43033023113113213220
512121042014424000
6250110003401544
722033435165420
oct3171327274750
9707167681221
10222455233000
11863851a8100
12371439832b4
1317c925809b0
14aaa44c3480
155bbea2696a
hex33cb5d79e8

222455233000 has 768 divisors, whose sum is σ = 715258252800. Its totient is φ = 63005184000.

The previous prime is 222455232953. The next prime is 222455233003. The reversal of 222455233000 is 332554222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 222455233000.

It is not an unprimeable number, because it can be changed into a prime (222455233003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 979978887 + ... + 979979113.

It is an arithmetic number, because the mean of its divisors is an integer number (931325850).

Almost surely, 2222455233000 is an apocalyptic number.

222455233000 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 222455233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357629126400).

222455233000 is an abundant number, since it is smaller than the sum of its proper divisors (492803019800).

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

222455233000 is a wasteful number, since it uses less digits than its factorization.

222455233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 222455233000 its reverse (332554222), we get a palindrome (222787787222).

The spelling of 222455233000 in words is "two hundred twenty-two billion, four hundred fifty-five million, two hundred thirty-three thousand".