Search a number
-
+
223032312000 = 2633531099473
BaseRepresentation
bin1100111110110111000…
…0110000000011000000
3210022200111122100211000
43033231300300003000
512123232232441000
6250243140252000
722053643241451
oct3175560600300
9708614570730
10223032312000
1186650a200a3
12372850a1000
1318054cb2764
14ab1adc1128
155c05518000
hex33edc300c0

223032312000 has 448 divisors, whose sum is σ = 825875107200. Its totient is φ = 58923417600.

The previous prime is 223032311981. The next prime is 223032312001. The reversal of 223032312000 is 213230322.

It is a happy number.

223032312000 is a `hidden beast` number, since 2 + 230 + 3 + 231 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (223032312001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23539264 + ... + 23548736.

Almost surely, 2223032312000 is an apocalyptic number.

223032312000 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 223032312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412937553600).

223032312000 is an abundant number, since it is smaller than the sum of its proper divisors (602842795200).

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

223032312000 is a wasteful number, since it uses less digits than its factorization.

223032312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9618 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 223032312000 its reverse (213230322), we get a palindrome (223245542322).

The spelling of 223032312000 in words is "two hundred twenty-three billion, thirty-two million, three hundred twelve thousand".