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42190225 = 52721131101
BaseRepresentation
bin1010000011110…
…0010110010001
32221101111002221
42200330112101
541300041400
64104141041
71021416400
oct240742621
987344087
1042190225
11218a7160
1212167781
13898273c
145863637
153a85c1a
hex283c591

42190225 has 72 divisors (see below), whose sum is σ = 69209856. Its totient is φ = 25200000.

The previous prime is 42190219. The next prime is 42190231. The reversal of 42190225 is 52209124.

It is an interprime number because it is at equal distance from previous prime (42190219) and next prime (42190231).

It is not a de Polignac number, because 42190225 - 23 = 42190217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 42190225.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 417675 + ... + 417775.

It is an arithmetic number, because the mean of its divisors is an integer number (961248).

Almost surely, 242190225 is an apocalyptic number.

It is an amenable number.

42190225 is a deficient number, since it is larger than the sum of its proper divisors (27019631).

42190225 is a wasteful number, since it uses less digits than its factorization.

42190225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 42190225 is about 6495.4002955938. The cubic root of 42190225 is about 348.1266576660.

Adding to 42190225 its reverse (52209124), we get a palindrome (94399349).

The spelling of 42190225 in words is "forty-two million, one hundred ninety thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 31 35 49 55 77 101 155 175 217 245 275 341 385 505 539 707 775 1085 1111 1225 1519 1705 1925 2387 2525 2695 3131 3535 4949 5425 5555 7595 7777 8525 11935 13475 15655 16709 17675 21917 24745 27775 34441 37975 38885 54439 59675 78275 83545 109585 123725 153419 172205 194425 241087 272195 417725 547925 767095 861025 1205435 1360975 1687609 3835475 6027175 8438045 42190225