Search a number
-
+
223210230000 = 2435431240011
BaseRepresentation
bin1100111111100001011…
…1011101000011110000
3210100010220102112102120
43033320113131003300
512124113304330000
6250312533514240
722061233436022
oct3177027350360
9710126375376
10223210230000
11867323a056a
12373147a2980
1318082b07a94
14ab36896012
155c15e5e6a0
hex33f85dd0f0

223210230000 has 200 divisors, whose sum is σ = 743799108096. Its totient is φ = 57602400000.

The previous prime is 223210229999. The next prime is 223210230029. The reversal of 223210230000 is 32012322.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×2232102300003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 809995 + ... + 1050005.

Almost surely, 2223210230000 is an apocalyptic number.

223210230000 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 223210230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371899554048).

223210230000 is an abundant number, since it is smaller than the sum of its proper divisors (520588878096).

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

223210230000 is a wasteful number, since it uses less digits than its factorization.

223210230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240073 (or 240052 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 223210230000 its reverse (32012322), we get a palindrome (223242242322).

The spelling of 223210230000 in words is "two hundred twenty-three billion, two hundred ten million, two hundred thirty thousand".