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223252232 = 23723831487
BaseRepresentation
bin11010100111010…
…00111100001000
3120120002101111012
431103220330020
5424123032412
634053023052
75350420100
oct1523507410
9516071435
10223252232
11105024785
1262924a88
1337338b18
1421916200
15148edc22
hexd4e8f08

223252232 has 48 divisors (see below), whose sum is σ = 488540160. Its totient is φ = 95365536.

The previous prime is 223252231. The next prime is 223252247. The reversal of 223252232 is 232252322.

It is a super-3 number, since 3×2232522323 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223252198 and 223252207.

It is not an unprimeable number, because it can be changed into a prime (223252231) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 149393 + ... + 150879.

It is an arithmetic number, because the mean of its divisors is an integer number (10177920).

Almost surely, 2223252232 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 223252232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

223252232 is an abundant number, since it is smaller than the sum of its proper divisors (265287928).

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

223252232 is a wasteful number, since it uses less digits than its factorization.

223252232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1879 counting only the distinct ones).

The product of its digits is 2880, while the sum is 23.

The square root of 223252232 is about 14941.6274883294. The cubic root of 223252232 is about 606.6412481132.

The spelling of 223252232 in words is "two hundred twenty-three million, two hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 383 392 766 1487 1532 2681 2974 3064 5362 5948 10409 10724 11896 18767 20818 21448 37534 41636 72863 75068 83272 145726 150136 291452 569521 582904 1139042 2278084 3986647 4556168 7973294 15946588 27906529 31893176 55813058 111626116 223252232