| Base | Representation |
|---|---|
| bin | 100111111101101001… |
| … | …0001010100000000000 |
| 3 | 22012111221212221212000 |
| 4 | 1033323102022200000 |
| 5 | 2401224434041230 |
| 6 | 103231505104000 |
| 7 | 6125463563142 |
| oct | 1177322124000 |
| 9 | 265457787760 |
| 10 | 85820221440 |
| 11 | 3343a306648 |
| 12 | 14771028000 |
| 13 | 8128ba6725 |
| 14 | 4221b4ac92 |
| 15 | 2374443b60 |
| hex | 13fb48a800 |
85820221440 has 1152 divisors, whose sum is σ = 351331344000. Its totient is φ = 19747307520.
The previous prime is 85820221411. The next prime is 85820221469. The reversal of 85820221440 is 4412202858.
85820221440 is a `hidden beast` number, since 8 + 5 + 8 + 202 + 2 + 1 + 440 = 666.
It is an interprime number because it is at equal distance from previous prime (85820221411) and next prime (85820221469).
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×858202214402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 85820221395 and 85820221404.
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, 2768394225 + ... + 2768394255.
It is an arithmetic number, because the mean of its divisors is an integer number (304975125).
Almost surely, 285820221440 is an apocalyptic number.
85820221440 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 85820221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175665672000).
85820221440 is an abundant number, since it is smaller than the sum of its proper divisors (265511122560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85820221440 is a wasteful number, since it uses less digits than its factorization.
85820221440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134 (or 77 counting only the distinct ones).
The product of its (nonzero) digits is 40960, while the sum is 36.
The spelling of 85820221440 in words is "eighty-five billion, eight hundred twenty million, two hundred twenty-one thousand, four hundred forty".
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