Search a number
-
+
223110000032 = 2523303138587
BaseRepresentation
bin1100111111001001100…
…1000110110110100000
3210022212220211022202112
43033302121012312200
512123412130000112
6250254553334452
722055605465253
oct3176231066640
9708786738675
10223110000032
1186690862287
12372a7107428
13180681136ca
14ab2744509a
155c0c261a22
hex33f2646da0

223110000032 has 24 divisors (see below), whose sum is σ = 458345545056. Its totient is φ = 106704782272.

The previous prime is 223110000023. The next prime is 223110000041. The reversal of 223110000032 is 230000011322.

It is a happy number.

223110000032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223110000023) and next prime (223110000041).

It is a super-3 number, since 3×2231100000323 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223109999971 and 223110000016.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 151568558 + ... + 151570029.

It is an arithmetic number, because the mean of its divisors is an integer number (19097731044).

Almost surely, 2223110000032 is an apocalyptic number.

It is an amenable number.

223110000032 is an abundant number, since it is smaller than the sum of its proper divisors (235235545024).

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

223110000032 is a wasteful number, since it uses less digits than its factorization.

223110000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303138620 (or 303138612 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 223110000032 its reverse (230000011322), we get a palindrome (453110011354).

The spelling of 223110000032 in words is "two hundred twenty-three billion, one hundred ten million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 303138587 606277174 1212554348 2425108696 4850217392 6972187501 9700434784 13944375002 27888750004 55777500008 111555000016 223110000032