| Base | Representation |
|---|---|
| bin | 1101001010100000001… |
| … | …1101010011101000000 |
| 3 | 210121202022212020020000 |
| 4 | 3102220003222131000 |
| 5 | 12201132401111000 |
| 6 | 251521231120000 |
| 7 | 22224254565612 |
| oct | 3225003523500 |
| 9 | 717668766200 |
| 10 | 226157832000 |
| 11 | 87a05222581 |
| 12 | 379b7973000 |
| 13 | 184326a4589 |
| 14 | ad3613cdb2 |
| 15 | 5d39b03000 |
| hex | 34a80ea740 |
226157832000 has 560 divisors, whose sum is σ = 839661485520. Its totient is φ = 60092928000.
The previous prime is 226157831983. The next prime is 226157832007. The reversal of 226157832000 is 238751622.
226157832000 is a `hidden beast` number, since 2 + 2 + 61 + 578 + 3 + 20 + 0 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 144412160256 + 81745671744 = 380016^2 + 285912^2 .
It is a super-2 number, since 2×2261578320002 (a number of 24 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (36) 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 (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (226157832007) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 272807586 + ... + 272808414.
Almost surely, 2226157832000 is an apocalyptic number.
226157832000 is a gapful number since it is divisible by the number (20) 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 226157832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419830742760).
226157832000 is an abundant number, since it is smaller than the sum of its proper divisors (613503653520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226157832000 is an equidigital number, since it uses as much as digits as its factorization.
226157832000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1289 (or 1260 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The spelling of 226157832000 in words is "two hundred twenty-six billion, one hundred fifty-seven million, eight hundred thirty-two thousand".
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