Search a number
-
+
42225162 = 23723141113
BaseRepresentation
bin1010000100010…
…0111000001010
32221110021000220
42201010320022
541302201122
64105010510
71021623300
oct241047012
987407026
1042225162
1121920431
1212183a36
138995605
145872270
153a9125c
hex2844e0a

42225162 has 96 divisors (see below), whose sum is σ = 104799744. Its totient is φ = 11289600.

The previous prime is 42225143. The next prime is 42225173. The reversal of 42225162 is 26152224.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373618 + ... + 373730.

It is an arithmetic number, because the mean of its divisors is an integer number (1091664).

Almost surely, 242225162 is an apocalyptic number.

42225162 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42225162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52399872).

42225162 is an abundant number, since it is smaller than the sum of its proper divisors (62574582).

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

42225162 is a wasteful number, since it uses less digits than its factorization.

42225162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 42225162 is about 6498.0891037289. The cubic root of 42225162 is about 348.2227237208. Note that the first 3 decimals are identical.

Adding to 42225162 its reverse (26152224), we get a palindrome (68377386).

The spelling of 42225162 in words is "forty-two million, two hundred twenty-five thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 31 41 42 49 62 82 93 98 113 123 147 186 217 226 246 287 294 339 434 574 651 678 791 861 1271 1302 1519 1582 1722 2009 2373 2542 3038 3503 3813 4018 4557 4633 4746 5537 6027 7006 7626 8897 9114 9266 10509 11074 12054 13899 16611 17794 21018 24521 26691 27798 32431 33222 49042 53382 62279 64862 73563 97293 124558 143623 147126 171647 186837 194586 227017 287246 343294 373674 430869 454034 514941 681051 861738 1005361 1029882 1362102 2010722 3016083 6032166 7037527 14075054 21112581 42225162