| Base | Representation |
|---|---|
| bin | 100001000001011000011… |
| … | …100101010111101000000 |
| 3 | 22000221021022021101100000 |
| 4 | 201001120130222331000 |
| 5 | 244134334010041024 |
| 6 | 4454245054200000 |
| 7 | 322642360133250 |
| oct | 41013034527500 |
| 9 | 8027238241300 |
| 10 | 2269226643264 |
| 11 | 7a5412310759 |
| 12 | 30795b4b3000 |
| 13 | 135caaa16149 |
| 14 | 7bb8c995960 |
| 15 | 3e063beecc9 |
| hex | 2105872af40 |
2269226643264 has 1344 divisors, whose sum is σ = 8627254272000. Its totient is φ = 576159547392.
The previous prime is 2269226643221. The next prime is 2269226643293. The reversal of 2269226643264 is 4623466229622.
2269226643264 is a `hidden beast` number, since 2 + 2 + 6 + 92 + 2 + 66 + 432 + 64 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-2 number, since 2×22692266432642 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 2269226643264.
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, 3788358037 + ... + 3788358635.
It is an arithmetic number, because the mean of its divisors is an integer number (6419088000).
Almost surely, 22269226643264 is an apocalyptic number.
2269226643264 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 2269226643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313627136000).
2269226643264 is an abundant number, since it is smaller than the sum of its proper divisors (6358027628736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2269226643264 is a wasteful number, since it uses less digits than its factorization.
2269226643264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 762 (or 740 counting only the distinct ones).
The product of its digits is 17915904, while the sum is 54.
The spelling of 2269226643264 in words is "two trillion, two hundred sixty-nine billion, two hundred twenty-six million, six hundred forty-three thousand, two hundred sixty-four".
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