| Base | Representation |
|---|---|
| bin | 101000001001101000… |
| … | …1110100000101010000 |
| 3 | 22020120000101012020000 |
| 4 | 1100103101310011100 |
| 5 | 2403041013022200 |
| 6 | 103335445250000 |
| 7 | 6141452363340 |
| oct | 1202321640520 |
| 9 | 266500335200 |
| 10 | 86222782800 |
| 11 | 33626570990 |
| 12 | 14863a03900 |
| 13 | 8191403b0b |
| 14 | 425d3bad20 |
| 15 | 2399961300 |
| hex | 1413474150 |
86222782800 has 2400 divisors, whose sum is σ = 434016506880. Its totient is φ = 15825715200.
The previous prime is 86222782799. The next prime is 86222782801. The reversal of 86222782800 is 828722268.
It is a happy number.
86222782800 is a `hidden beast` number, since 86 + 22 + 278 + 280 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (86222782799) and next prime (86222782801).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (86222782801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 805820347 + ... + 805820453.
Almost surely, 286222782800 is an apocalyptic number.
86222782800 is a gapful number since it is divisible by the number (80) 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 86222782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217008253440).
86222782800 is an abundant number, since it is smaller than the sum of its proper divisors (347793724080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86222782800 is a wasteful number, since it uses less digits than its factorization.
86222782800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 191 (or 171 counting only the distinct ones).
The product of its (nonzero) digits is 344064, while the sum is 45.
The spelling of 86222782800 in words is "eighty-six billion, two hundred twenty-two million, seven hundred eighty-two thousand, eight hundred".
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