| Base | Representation |
|---|---|
| bin | 10011000011010110… |
| … | …10111000100000000 |
| 3 | 222101212002100110211 |
| 4 | 21201223113010000 |
| 5 | 131422021104300 |
| 6 | 4410552203504 |
| 7 | 511322304100 |
| oct | 114153270400 |
| 9 | 28355070424 |
| 10 | 10228691200 |
| 11 | 4379914102 |
| 12 | 1b95699594 |
| 13 | c701abb00 |
| 14 | 6d0693200 |
| 15 | 3eced34ba |
| hex | 261ad7100 |
10228691200 has 486 divisors, whose sum is σ = 32056069374. Its totient is φ = 3220439040.
The previous prime is 10228691197. The next prime is 10228691203. The reversal of 10228691200 is 219682201.
It is an interprime number because it is at equal distance from previous prime (10228691197) and next prime (10228691203).
It can be written as a sum of positive squares in 9 ways, for example, as 7789121536 + 2439569664 = 88256^2 + 49392^2 .
It is a super-2 number, since 2×102286912002 (a number of 21 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (10228691203) 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 53 ways as a sum of consecutive naturals, for example, 52998304 + ... + 52998496.
Almost surely, 210228691200 is an apocalyptic number.
10228691200 is a gapful number since it is divisible by the number (10) 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 10228691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16028034687).
10228691200 is an abundant number, since it is smaller than the sum of its proper divisors (21827378174).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10228691200 is a wasteful number, since it uses less digits than its factorization.
10228691200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 259 (or 220 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 31.
The spelling of 10228691200 in words is "ten billion, two hundred twenty-eight million, six hundred ninety-one thousand, two hundred".
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