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223000230132 = 22321729113251443
BaseRepresentation
bin1100111110101111011…
…0010111100011110100
3210022121021021102202200
43033223312113203310
512123201024331012
6250240032504500
722053103452351
oct3175366274364
9708537242680
10223000230132
11866348a8559
12372763ab130
131804b45bcc4
14ab16a2d628
155c027cc3dc
hex33ebd978f4

223000230132 has 288 divisors, whose sum is σ = 626792100480. Its totient is φ = 66533376000.

The previous prime is 223000230113. The next prime is 223000230137. The reversal of 223000230132 is 231032000322.

It is a happy number.

223000230132 is a `hidden beast` number, since 2 + 2 + 300 + 0 + 230 + 132 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223000230137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503386303 + ... + 503386745.

It is an arithmetic number, because the mean of its divisors is an integer number (2176361460).

Almost surely, 2223000230132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223000230132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313396050240).

223000230132 is an abundant number, since it is smaller than the sum of its proper divisors (403791870348).

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

223000230132 is a wasteful number, since it uses less digits than its factorization.

223000230132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 858 counting only the distinct ones).

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

Adding to 223000230132 its reverse (231032000322), we get a palindrome (454032230454).

The spelling of 223000230132 in words is "two hundred twenty-three billion, two hundred thirty thousand, one hundred thirty-two".