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223230213000 = 233253173747839
BaseRepresentation
bin1100111111100110001…
…1101011101110001000
3210100012022000202221200
43033321203223232020
512124133413304000
6250314530104200
722061565334344
oct3177143535610
9710168022850
10223230213000
11867426aa043
123731b41b060
1318086cb3542
14ab393b8624
155c17aaa500
hex33f98ebb88

223230213000 has 768 divisors, whose sum is σ = 838949529600. Its totient is φ = 53288755200.

The previous prime is 223230212993. The next prime is 223230213067. The reversal of 223230213000 is 312032322.

It is a happy number.

223230213000 is a `hidden beast` number, since 2 + 232 + 302 + 130 + 0 + 0 = 666.

It is a super-3 number, since 3×2232302130003 (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 266066581 + ... + 266067419.

It is an arithmetic number, because the mean of its divisors is an integer number (1092382200).

Almost surely, 2223230213000 is an apocalyptic number.

223230213000 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 223230213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419474764800).

223230213000 is an abundant number, since it is smaller than the sum of its proper divisors (615719316600).

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

223230213000 is a wasteful number, since it uses less digits than its factorization.

223230213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 950 counting only the distinct ones).

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

Adding to 223230213000 its reverse (312032322), we get a palindrome (223542245322).

The spelling of 223230213000 in words is "two hundred twenty-three billion, two hundred thirty million, two hundred thirteen thousand".