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42222132 = 22325322129
BaseRepresentation
bin1010000100010…
…0001000110100
32221110002212200
42201010020310
541302102012
64104544500
71021611411
oct241041064
987402780
1042222132
1121919127
1212182130
138994114
145871108
153a903dc
hex2844234

42222132 has 36 divisors (see below), whose sum is σ = 108746820. Its totient is φ = 13807872.

The previous prime is 42222119. The next prime is 42222139. The reversal of 42222132 is 23122224.

It can be written as a sum of positive squares in 2 ways, for example, as 36433296 + 5788836 = 6036^2 + 2406^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42222139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9157 + ... + 12972.

It is an arithmetic number, because the mean of its divisors is an integer number (3020745).

Almost surely, 242222132 is an apocalyptic number.

It is an amenable number.

42222132 is an abundant number, since it is smaller than the sum of its proper divisors (66524688).

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

42222132 is a wasteful number, since it uses less digits than its factorization.

42222132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22192 (or 22187 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 42222132 is about 6497.8559540821. The cubic root of 42222132 is about 348.2143942474.

Adding to 42222132 its reverse (23122224), we get a palindrome (65344356).

The spelling of 42222132 in words is "forty-two million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 22129 44258 66387 88516 132774 199161 265548 398322 796644 1172837 2345674 3518511 4691348 7037022 10555533 14074044 21111066 42222132