Search a number
-
+
223425638038080 = 263351012332773967
BaseRepresentation
bin110010110011010001010101…
…110010011111101001000000
31002022002021121212102111012000
4302303101111302133221000
5213241101201314204310
62111104153211304000
765026653410252322
oct6263212562375100
91068067555374160
10223425638038080
116521030aa83985
122108547614b000
139788c411a077a
143d25c03d2d612
151ac6c30c684c0
hexcb3455c9fa40

223425638038080 has 896 divisors, whose sum is σ = 802504453570560. Its totient is φ = 58510290124800.

The previous prime is 223425638038033. The next prime is 223425638038129. The reversal of 223425638038080 is 80830836524322.

223425638038080 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 256 + 3 + 8 + 0 + 380 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 56321056257 + ... + 56321060223.

Almost surely, 2223425638038080 is an apocalyptic number.

223425638038080 is a gapful number since it is divisible by the number (20) 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 223425638038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401252226785280).

223425638038080 is an abundant number, since it is smaller than the sum of its proper divisors (579078815532480).

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

223425638038080 is a wasteful number, since it uses less digits than its factorization.

223425638038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 223425638038080 in words is "two hundred twenty-three trillion, four hundred twenty-five billion, six hundred thirty-eight million, thirty-eight thousand, eighty".