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223146830881 = 1327126776947
BaseRepresentation
bin1100111111010010010…
…1100110110000100001
3210022222111010112012001
43033310211212300201
512124001042042011
6250302351004001
722056533523652
oct3176445466041
9708874115161
10223146830881
11866aa6288a7
12372b7509601
131807293a900
14ab2c2b1529
155c105d97c1
hex33f4966c21

223146830881 has 24 divisors (see below), whose sum is σ = 245162458944. Its totient is φ = 202975456320.

The previous prime is 223146830849. The next prime is 223146830887. The reversal of 223146830881 is 188038641322.

223146830881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 223146830881 - 25 = 223146830849 is a prime.

It is a super-3 number, since 3×2231468308813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223146830887) 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 23 ways as a sum of consecutive naturals, for example, 32117850 + ... + 32124796.

It is an arithmetic number, because the mean of its divisors is an integer number (10215102456).

Almost surely, 2223146830881 is an apocalyptic number.

It is an amenable number.

223146830881 is a deficient number, since it is larger than the sum of its proper divisors (22015628063).

223146830881 is a wasteful number, since it uses less digits than its factorization.

223146830881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721 (or 9708 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 223146830881 in words is "two hundred twenty-three billion, one hundred forty-six million, eight hundred thirty thousand, eight hundred eighty-one".

Divisors: 1 13 71 169 923 2677 6947 11999 34801 90311 190067 452413 493237 1174043 2470871 6412081 18597119 32121323 83357053 241762547 1320395449 3142913111 17165140837 223146830881