| Base | Representation |
|---|---|
| bin | 11011000000000… |
| … | …00000000000000 |
| 3 | 120210012000012000 |
| 4 | 31200000000000 |
| 5 | 430440224131 |
| 6 | 34250304000 |
| 7 | 5420103513 |
| oct | 1540000000 |
| 9 | 523160160 |
| 10 | 226492416 |
| 11 | 106938117 |
| 12 | 63a28000 |
| 13 | 37c018a7 |
| 14 | 2211ad7a |
| 15 | 14d3dce6 |
| hex | d800000 |
226492416 has 96 divisors (see below), whose sum is σ = 671088600. Its totient is φ = 75497472.
The previous prime is 226492393. The next prime is 226492433. The reversal of 226492416 is 614294622.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Jordan-Polya number, since it can be written as (4!)3 ⋅ (2!)14.
226492416 is a `hidden beast` number, since 2 + 2 + 649 + 2 + 4 + 1 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 16.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75497471 + 75497472 + 75497473.
Almost surely, 2226492416 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 226492416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335544300).
226492416 is an abundant number, since it is smaller than the sum of its proper divisors (444596184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226492416 is an frugal number, since it uses more digits than its factorization.
226492416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 55 (or 5 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 226492416 is about 15049.6649796598. The cubic root of 226492416 is about 609.5620039558.
Multiplying 226492416 by its sum of digits (36), we get a 5-th power (8153726976 = 965).
The spelling of 226492416 in words is "two hundred twenty-six million, four hundred ninety-two thousand, four hundred sixteen".
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