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223684231195152 = 243371317223818269
BaseRepresentation
bin110010110111000010001011…
…001001000110101000010000
31002100000000002200001221202000
4302313002023021012220100
5213304320301141221102
62111423041152154000
765054436525651210
oct6267021311065020
91070000080057660
10223684231195152
11652aaa4a08a232
1221107604538900
1397a7442643790
143d34535ad0240
151acd81819801c
hexcb708b246a10

223684231195152 has 960 divisors, whose sum is σ = 839895684902400. Its totient is φ = 55493397872640.

The previous prime is 223684231195141. The next prime is 223684231195157. The reversal of 223684231195152 is 251591132486322.

223684231195152 is a `hidden beast` number, since 2 + 2 + 3 + 6 + 8 + 4 + 2 + 3 + 119 + 515 + 2 = 666.

It is a super-2 number, since 2×2236842311951522 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (223684231195157) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 27050936874 + ... + 27050945142.

It is an arithmetic number, because the mean of its divisors is an integer number (874891338440).

Almost surely, 2223684231195152 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 223684231195152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419947842451200).

223684231195152 is an abundant number, since it is smaller than the sum of its proper divisors (616211453707248).

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

223684231195152 is a wasteful number, since it uses less digits than its factorization.

223684231195152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10721 (or 10692 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 223684231195152 in words is "two hundred twenty-three trillion, six hundred eighty-four billion, two hundred thirty-one million, one hundred ninety-five thousand, one hundred fifty-two".