Search a number
-
+
223211130120 = 233251182368489
BaseRepresentation
bin1100111111100001101…
…0111000110100001000
3210100010222010021011100
43033320122320310020
512124114022130440
6250313005101400
722061244205206
oct3177032706410
9710128107140
10223211130120
1186732955870
1237314b57860
13180830616b4
14ab36a4c076
155c1608b230
hex33f86b8d08

223211130120 has 192 divisors, whose sum is σ = 792358070400. Its totient is φ = 54045250560.

The previous prime is 223211130101. The next prime is 223211130349. The reversal of 223211130120 is 21031112322.

223211130120 is a `hidden beast` number, since 2 + 232 + 111 + 301 + 20 = 666.

223211130120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232111301203 (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 223211130093 and 223211130102.

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 47 ways as a sum of consecutive naturals, for example, 3224836 + ... + 3293324.

It is an arithmetic number, because the mean of its divisors is an integer number (4126864950).

Almost surely, 2223211130120 is an apocalyptic number.

223211130120 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 223211130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396179035200).

223211130120 is an abundant number, since it is smaller than the sum of its proper divisors (569146940280).

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

223211130120 is a wasteful number, since it uses less digits than its factorization.

223211130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69340 (or 69333 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 223211130120 its reverse (21031112322), we get a palindrome (244242242442).

The spelling of 223211130120 in words is "two hundred twenty-three billion, two hundred eleven million, one hundred thirty thousand, one hundred twenty".