Search a number
-
+
223695700486272 = 273374327516659
BaseRepresentation
bin110010110111001100110110…
…110000111110100010000000
31002100001002200222120022101000
4302313030312300332202000
5213310012243311030042
62111432215223012000
765055323664220560
oct6267146660764200
91070032628508330
10223695700486272
11653048a520a423
122110988559a000
1397a854c860681
143d34d03040da0
151acdc8a03674c
hexcb7336c3e880

223695700486272 has 768 divisors, whose sum is σ = 773629180416000. Its totient is φ = 62334220032000.

The previous prime is 223695700486211. The next prime is 223695700486283. The reversal of 223695700486272 is 272684007596322.

223695700486272 is a `hidden beast` number, since 2 + 2 + 3 + 69 + 5 + 70 + 0 + 486 + 27 + 2 = 666.

It is a super-2 number, since 2×2236957004862722 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33592983679 + ... + 33592990337.

It is an arithmetic number, because the mean of its divisors is an integer number (1007329662000).

Almost surely, 2223695700486272 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 223695700486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386814590208000).

223695700486272 is an abundant number, since it is smaller than the sum of its proper divisors (549933479929728).

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

223695700486272 is an equidigital number, since it uses as much as digits as its factorization.

223695700486272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526 (or 7465 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 223695700486272 in words is "two hundred twenty-three trillion, six hundred ninety-five billion, seven hundred million, four hundred eighty-six thousand, two hundred seventy-two".