Search a number
-
+
223211130000 = 2435459312547
BaseRepresentation
bin1100111111100001101…
…0111000110010010000
3210100010222010020222220
43033320122320302100
512124114022130000
6250313005101040
722061244204645
oct3177032706220
9710128106886
10223211130000
1186732955771
1237314b57780
1318083061621
14ab36a4bdcc
155c1608b1a0
hex33f86b8c90

223211130000 has 200 divisors, whose sum is σ = 721827916128. Its totient is φ = 59417856000.

The previous prime is 223211129963. The next prime is 223211130017. The reversal of 223211130000 is 31112322.

223211130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×2232111300003 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17783727 + ... + 17796273.

Almost surely, 2223211130000 is an apocalyptic number.

223211130000 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 223211130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360913958064).

223211130000 is an abundant number, since it is smaller than the sum of its proper divisors (498616786128).

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

223211130000 is a wasteful number, since it uses less digits than its factorization.

223211130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13171 (or 13150 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 223211130000 its reverse (31112322), we get a palindrome (223242242322).

The spelling of 223211130000 in words is "two hundred twenty-three billion, two hundred eleven million, one hundred thirty thousand".