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221422128 = 2435387037
BaseRepresentation
bin11010011001010…
…10001000110000
3120102122102001120
431030222020300
5423141002003
633545502240
75326025364
oct1514521060
9512572046
10221422128
11103a947a4
12621a1980
1336b47b15
142159b2a4
151468b853
hexd32a230

221422128 has 40 divisors (see below), whose sum is σ = 582806448. Its totient is φ = 72413952.

The previous prime is 221422111. The next prime is 221422129. The reversal of 221422128 is 821224122.

221422128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221422098 and 221422107.

It is not an unprimeable number, because it can be changed into a prime (221422129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40975 + ... + 46062.

Almost surely, 2221422128 is an apocalyptic number.

It is an amenable number.

221422128 is an abundant number, since it is smaller than the sum of its proper divisors (361384320).

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

221422128 is a wasteful number, since it uses less digits than its factorization.

221422128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87101 (or 87095 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 221422128 is about 14880.2596751535. The cubic root of 221422128 is about 604.9790562611.

It can be divided in two parts, 2214 and 22128, that added together give a palindrome (24342).

The spelling of 221422128 in words is "two hundred twenty-one million, four hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 87037 174074 261111 348148 522222 696296 1044444 1392592 2088888 4177776 4612961 9225922 13838883 18451844 27677766 36903688 55355532 73807376 110711064 221422128