| Base | Representation |
|---|---|
| bin | 10111111110010… |
| … | …111110110000000 |
| 3 | 1001000212020010000 |
| 4 | 113332113312000 |
| 5 | 1310432222220 |
| 6 | 103525040000 |
| 7 | 12652604121 |
| oct | 2776276600 |
| 9 | 1030766100 |
| 10 | 402226560 |
| 11 | 19705684a |
| 12 | b2856000 |
| 13 | 65440ba8 |
| 14 | 3b5c4048 |
| 15 | 254a3390 |
| hex | 17f97d80 |
402226560 has 160 divisors (see below), whose sum is σ = 1436608800. Its totient is φ = 107246592.
The previous prime is 402226547. The next prime is 402226567. The reversal of 402226560 is 65622204.
402226560 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 2 + 656 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (402226567) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47961 + ... + 55719.
It is an arithmetic number, because the mean of its divisors is an integer number (8978805).
Almost surely, 2402226560 is an apocalyptic number.
402226560 is a gapful number since it is divisible by the number (40) 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 402226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718304400).
402226560 is an abundant number, since it is smaller than the sum of its proper divisors (1034382240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
402226560 is an equidigital number, since it uses as much as digits as its factorization.
402226560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7790 (or 7769 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 402226560 is about 20055.5867528228. The cubic root of 402226560 is about 738.1708904277.
Adding to 402226560 its reverse (65622204), we get a palindrome (467848764).
The spelling of 402226560 in words is "four hundred two million, two hundred twenty-six thousand, five hundred sixty".
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