Search a number
-
+
223441527459696 = 243713379276748779
BaseRepresentation
bin110010110011100000001000…
…110111110100111101110000
31002022010210122020011201221220
4302303200020313310331300
5213241331222012202241
62111115342020545040
765031055230151560
oct6263401067647560
91068123566151856
10223441527459696
1165217024162587
122108856b552180
13978a5a407b2b0
143d268b0318da0
151ac7360bba166
hexcb3808df4f70

223441527459696 has 320 divisors, whose sum is σ = 712575992217600. Its totient is φ = 58751700876288.

The previous prime is 223441527459677. The next prime is 223441527459713. The reversal of 223441527459696 is 696954725144322.

223441527459696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2234415274596962 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223441527459696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4580666635 + ... + 4580715413.

It is an arithmetic number, because the mean of its divisors is an integer number (2226799975680).

Almost surely, 2223441527459696 is an apocalyptic number.

223441527459696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223441527459696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356287996108800).

223441527459696 is an abundant number, since it is smaller than the sum of its proper divisors (489134464757904).

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

223441527459696 is a wasteful number, since it uses less digits than its factorization.

223441527459696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51956 (or 51950 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 69.

The spelling of 223441527459696 in words is "two hundred twenty-three trillion, four hundred forty-one billion, five hundred twenty-seven million, four hundred fifty-nine thousand, six hundred ninety-six".