Search a number
-
+
20032218 = 233231272
BaseRepresentation
bin100110001101…
…0101011011010
31101200202001000
41030122223122
520112012333
61553205430
7332161653
oct114325332
941622030
1020032218
1110342558
126860876
1341c4cab
14293652a
151b5a713
hex131aada

20032218 has 48 divisors (see below), whose sum is σ = 46820160. Its totient is φ = 6336792.

The previous prime is 20032193. The next prime is 20032237. The reversal of 20032218 is 81223002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 20032218.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157671 + ... + 157797.

It is an arithmetic number, because the mean of its divisors is an integer number (975420).

Almost surely, 220032218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20032218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23410080).

20032218 is an abundant number, since it is smaller than the sum of its proper divisors (26787942).

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

20032218 is a wasteful number, since it uses less digits than its factorization.

20032218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20032218 is about 4475.7365874233. The cubic root of 20032218 is about 271.5874386417.

The spelling of 20032218 in words is "twenty million, thirty-two thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 127 138 207 254 381 414 621 762 1143 1242 2286 2921 3429 5842 6858 8763 16129 17526 26289 32258 48387 52578 78867 96774 145161 157734 290322 370967 435483 741934 870966 1112901 2225802 3338703 6677406 10016109 20032218