| Base | Representation |
|---|---|
| bin | 11010111101001… |
| … | …01101110000000 |
| 3 | 120202111012221000 |
| 4 | 31132211232000 |
| 5 | 430341410444 |
| 6 | 34234332000 |
| 7 | 5414003430 |
| oct | 1536455600 |
| 9 | 522435830 |
| 10 | 226122624 |
| 11 | 106705302 |
| 12 | 6388a000 |
| 13 | 37b02490 |
| 14 | 220622c0 |
| 15 | 14cb9469 |
| hex | d7a5b80 |
226122624 has 256 divisors, whose sum is σ = 822528000. Its totient is φ = 59553792.
The previous prime is 226122613. The next prime is 226122641. The reversal of 226122624 is 426221622.
It is a happy number.
226122624 is a `hidden beast` number, since 2 + 2 + 612 + 26 + 24 = 666.
226122624 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2261226242 = 102262882169290752, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314137 + ... + 314855.
It is an arithmetic number, because the mean of its divisors is an integer number (3213000).
Almost surely, 2226122624 is an apocalyptic number.
226122624 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 226122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264000).
226122624 is an abundant number, since it is smaller than the sum of its proper divisors (596405376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226122624 is a wasteful number, since it uses less digits than its factorization.
226122624 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 762 (or 744 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
The square root of 226122624 is about 15037.3742388756. The cubic root of 226122624 is about 609.2300812311.
The spelling of 226122624 in words is "two hundred twenty-six million, one hundred twenty-two thousand, six hundred twenty-four".
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