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426222216 = 23337281893
BaseRepresentation
bin11001011001111…
…010001010001000
31002201000022222000
4121121322022020
51333103102331
6110143231000
713363554240
oct3131721210
91081008860
10426222216
111a9656072
12ba8a8460
136a3c2bc4
144086cb20
15276430e6
hex1967a288

426222216 has 64 divisors (see below), whose sum is σ = 1353091200. Its totient is φ = 121777344.

The previous prime is 426222197. The next prime is 426222217. The reversal of 426222216 is 612222624.

It is a happy number.

426222216 is a `hidden beast` number, since 4 + 2 + 622 + 22 + 16 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 426222216.

It is not an unprimeable number, because it can be changed into a prime (426222217) 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 15 ways as a sum of consecutive naturals, for example, 139435 + ... + 142458.

It is an arithmetic number, because the mean of its divisors is an integer number (21142050).

Almost surely, 2426222216 is an apocalyptic number.

It is an amenable number.

426222216 is an abundant number, since it is smaller than the sum of its proper divisors (926868984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426222216 is a wasteful number, since it uses less digits than its factorization.

426222216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281915 (or 281905 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 426222216 is about 20645.1499389082. The cubic root of 426222216 is about 752.5673297297.

The spelling of 426222216 in words is "four hundred twenty-six million, two hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 281893 563786 845679 1127572 1691358 1973251 2255144 2537037 3382716 3946502 5074074 5919753 6765432 7611111 7893004 10148148 11839506 15222222 15786008 17759259 20296296 23679012 30444444 35518518 47358024 53277777 60888888 71037036 106555554 142074072 213111108 426222216