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42224292 = 223211106627
BaseRepresentation
bin1010000100010…
…0101010100100
32221110012211200
42201010222210
541302134132
64105002500
71021620615
oct241045244
987405750
1042224292
112191a810
1212183430
1389950b6
145871c0c
153a90d7c
hex2844aa4

42224292 has 36 divisors (see below), whose sum is σ = 116437776. Its totient is φ = 12795120.

The previous prime is 42224291. The next prime is 42224309. The reversal of 42224292 is 29242224.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (42224291) 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, 52918 + ... + 53709.

Almost surely, 242224292 is an apocalyptic number.

It is an amenable number.

42224292 is an abundant number, since it is smaller than the sum of its proper divisors (74213484).

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

42224292 is a wasteful number, since it uses less digits than its factorization.

42224292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106648 (or 106643 counting only the distinct ones).

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

The square root of 42224292 is about 6498.0221606270. The cubic root of 42224292 is about 348.2203321306.

The spelling of 42224292 in words is "forty-two million, two hundred twenty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 106627 213254 319881 426508 639762 959643 1172897 1279524 1919286 2345794 3518691 3838572 4691588 7037382 10556073 14074764 21112146 42224292