Search a number
-
+
90805218 = 23719253113
BaseRepresentation
bin1010110100110…
…01001111100010
320022212101100020
411122121033202
5141221231333
613002134310
72151555150
oct532311742
9208771306
1090805218
1147291339
12264b1396
1315a745ca
14c0ba3d0
157e8a3b3
hex56993e2

90805218 has 96 divisors (see below), whose sum is σ = 225161856. Its totient is φ = 23901696.

The previous prime is 90805193. The next prime is 90805223. The reversal of 90805218 is 81250809.

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, 803530 + ... + 803642.

It is an arithmetic number, because the mean of its divisors is an integer number (2345436).

Almost surely, 290805218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90805218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112580928).

90805218 is an abundant number, since it is smaller than the sum of its proper divisors (134356638).

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

90805218 is a wasteful number, since it uses less digits than its factorization.

90805218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 90805218 is about 9529.1771942807. The cubic root of 90805218 is about 449.4729929254.

The spelling of 90805218 in words is "ninety million, eight hundred five thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 53 57 106 113 114 133 159 226 266 318 339 361 371 399 678 722 742 791 798 1007 1083 1113 1582 2014 2147 2166 2226 2373 2527 3021 4294 4746 5054 5989 6042 6441 7049 7581 11978 12882 14098 15029 15162 17967 19133 21147 30058 35934 38266 40793 41923 42294 45087 57399 81586 83846 90174 113791 114798 122379 125769 133931 227582 244758 251538 267862 285551 341373 401793 571102 682746 796537 803586 856653 1593074 1713306 2162029 2389611 4324058 4779222 6486087 12972174 15134203 30268406 45402609 90805218