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42022233 = 351179199
BaseRepresentation
bin1010000001001…
…1010101011001
32221001221200000
42200103111121
541224202413
64100403213
71020116541
oct240232531
987057600
1042022233
11217a1a20
12120a6509
138924136
14581c321
153a51073
hex2813559

42022233 has 48 divisors (see below), whose sum is σ = 69888000. Its totient is φ = 25019280.

The previous prime is 42022207. The next prime is 42022241. The reversal of 42022233 is 33222024.

It is not a de Polignac number, because 42022233 - 213 = 42014041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42022033) 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 47 ways as a sum of consecutive naturals, for example, 211068 + ... + 211266.

It is an arithmetic number, because the mean of its divisors is an integer number (1456000).

Almost surely, 242022233 is an apocalyptic number.

It is an amenable number.

42022233 is a deficient number, since it is larger than the sum of its proper divisors (27865767).

42022233 is a wasteful number, since it uses less digits than its factorization.

42022233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42022233 is about 6482.4557846545. The cubic root of 42022233 is about 347.6639889868.

Adding to 42022233 its reverse (33222024), we get a palindrome (75244257).

The spelling of 42022233 in words is "forty-two million, twenty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 11 27 33 79 81 99 199 237 243 297 597 711 869 891 1791 2133 2189 2607 2673 5373 6399 6567 7821 15721 16119 19197 19701 23463 47163 48357 59103 70389 141489 172931 177309 211167 424467 518793 531927 1273401 1556379 3820203 4669137 14007411 42022233