Base | Representation |
---|---|
bin | 110101011110111100101100… |
… | …110110111100001110000000 |
3 | 1010211212010021002111002002200 |
4 | 311132330230312330032000 |
5 | 221312344131440444333 |
6 | 2152140020343513200 |
7 | 100355213555510430 |
oct | 6536745466741600 |
9 | 1124763232432080 |
10 | 235223226499968 |
11 | 68a49679114283 |
12 | 2246ba06758800 |
13 | a1335bba75855 |
14 | 4212c174462c0 |
15 | 1c2da68b5ec13 |
hex | d5ef2cdbc380 |
235223226499968 has 768 divisors, whose sum is σ = 805314904842240. Its totient is φ = 64487248035840.
The previous prime is 235223226499951. The next prime is 235223226499979. The reversal of 235223226499968 is 869994622322532.
235223226499968 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 23 + 2 + 26 + 499 + 96 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 235223226499896 and 235223226499905.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32638157421 + ... + 32638164627.
It is an arithmetic number, because the mean of its divisors is an integer number (1048587115680).
Almost surely, 2235223226499968 is an apocalyptic number.
235223226499968 is a gapful number since it is divisible by the number (28) 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 235223226499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402657452421120).
235223226499968 is an abundant number, since it is smaller than the sum of its proper divisors (570091678342272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235223226499968 is a wasteful number, since it uses less digits than its factorization.
235223226499968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8355 (or 8340 counting only the distinct ones).
The product of its digits is 1209323520, while the sum is 72.
The spelling of 235223226499968 in words is "two hundred thirty-five trillion, two hundred twenty-three billion, two hundred twenty-six million, four hundred ninety-nine thousand, nine hundred sixty-eight".
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