Search a number
-
+
890216196 = 2231923533203
BaseRepresentation
bin110101000011111…
…001111100000100
32022001002200001020
4311003321330010
53310343404241
6224200231140
731026466332
oct6503717404
92261080036
10890216196
1141755a671
1220a16b4b0
1311257c35c
1486330b52
1553247b66
hex350f9f04

890216196 has 96 divisors (see below), whose sum is σ = 2325335040. Its totient is φ = 263742336.

The previous prime is 890216191. The next prime is 890216209. The reversal of 890216196 is 691612098.

890216196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (890216191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276331 + ... + 279533.

It is an arithmetic number, because the mean of its divisors is an integer number (24222240).

Almost surely, 2890216196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890216196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162667520).

890216196 is an abundant number, since it is smaller than the sum of its proper divisors (1435118844).

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

890216196 is a wasteful number, since it uses less digits than its factorization.

890216196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 890216196 is about 29836.4910135224. The cubic root of 890216196 is about 961.9780525563.

The spelling of 890216196 in words is "eight hundred ninety million, two hundred sixteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 23 38 46 53 57 69 76 92 106 114 138 159 212 228 276 318 437 636 874 1007 1219 1311 1748 2014 2438 2622 3021 3203 3657 4028 4876 5244 6042 6406 7314 9609 12084 12812 14628 19218 23161 38436 46322 60857 69483 73669 92644 121714 138966 147338 169759 182571 221007 243428 277932 294676 339518 365142 442014 509277 679036 730284 884028 1018554 1399711 2037108 2799422 3225421 3904457 4199133 5598844 6450842 7808914 8398266 9676263 11713371 12901684 15617828 16796532 19352526 23426742 38705052 46853484 74184683 148369366 222554049 296738732 445108098 890216196