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223130700 = 223452132163
BaseRepresentation
bin11010100110010…
…11010001001100
3120112212012210000
431103023101030
5424110140300
634050244300
75346402552
oct1523132114
9515765700
10223130700
11104a51441
1262886690
13372c5700
14218c3bd2
15148c7c00
hexd4cb44c

223130700 has 270 divisors, whose sum is σ = 788025084. Its totient is φ = 54587520.

The previous prime is 223130657. The next prime is 223130731. The reversal of 223130700 is 7031322.

223130700 is digitally balanced in base 3, 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 (270).

It is a super-3 number, since 3×2231307003 (a number of 26 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1368819 + ... + 1368981.

Almost surely, 2223130700 is an apocalyptic number.

223130700 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 223130700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394012542).

223130700 is an abundant number, since it is smaller than the sum of its proper divisors (564894384).

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

223130700 is a wasteful number, since it uses less digits than its factorization.

223130700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 223130700 is about 14937.5600417203. The cubic root of 223130700 is about 606.5311488685.

The spelling of 223130700 in words is "two hundred twenty-three million, one hundred thirty thousand, seven hundred".