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223808852038464 = 2632711291392574871
BaseRepresentation
bin110010111000110110001111…
…000111111001001101000000
31002100102220202201011201121100
4302320312033013321031000
5213313341012110212324
62112000211153254400
765066440664440050
oct6270661707711500
91070386681151540
10223808852038464
116534888a322320
12211277a3864400
1397b6112c65354
143d3a5989db560
151ad1badb5c4c9
hexcb8d8f1f9340

223808852038464 has 1344 divisors, whose sum is σ = 836747806003200. Its totient is φ = 55495596441600.

The previous prime is 223808852038411. The next prime is 223808852038511. The reversal of 223808852038464 is 464830258808322.

It is a happy number.

223808852038464 is a `hidden beast` number, since 2 + 2 + 38 + 0 + 8 + 8 + 520 + 38 + 46 + 4 = 666.

223808852038464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45947205949 + ... + 45947210819.

It is an arithmetic number, because the mean of its divisors is an integer number (622580212800).

Almost surely, 2223808852038464 is an apocalyptic number.

223808852038464 is a gapful number since it is divisible by the number (24) 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 223808852038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418373903001600).

223808852038464 is an abundant number, since it is smaller than the sum of its proper divisors (612938953964736).

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

223808852038464 is a wasteful number, since it uses less digits than its factorization.

223808852038464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 223808852038464 in words is "two hundred twenty-three trillion, eight hundred eight billion, eight hundred fifty-two million, thirty-eight thousand, four hundred sixty-four".