Search a number
-
+
42223129 = 132433577
BaseRepresentation
bin1010000100010…
…0011000011001
32221110011020121
42201010120121
541302120004
64104553241
71021614334
oct241043031
987404217
1042223129
1121919953
1212182821
138994700
14587161b
153a90854
hex2844619

42223129 has 12 divisors (see below), whose sum is σ = 45905916. Its totient is φ = 38817792.

The previous prime is 42223117. The next prime is 42223133. The reversal of 42223129 is 92132224.

It can be written as a sum of positive squares in 6 ways, for example, as 2822400 + 39400729 = 1680^2 + 6277^2 .

It is not a de Polignac number, because 42223129 - 221 = 40125977 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42223169) 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, 72889 + ... + 73465.

It is an arithmetic number, because the mean of its divisors is an integer number (3825493).

Almost surely, 242223129 is an apocalyptic number.

It is an amenable number.

42223129 is a deficient number, since it is larger than the sum of its proper divisors (3682787).

42223129 is a wasteful number, since it uses less digits than its factorization.

42223129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1023 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 42223129 is about 6497.9326712424. The cubic root of 42223129 is about 348.2171350455.

The spelling of 42223129 in words is "forty-two million, two hundred twenty-three thousand, one hundred twenty-nine".

Divisors: 1 13 169 433 577 5629 7501 73177 97513 249841 3247933 42223129