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189916224 = 2634492203
BaseRepresentation
bin10110101000111…
…10010001000000
3111020100202002020
423110132101000
5342104304344
630502321440
74464155421
oct1324362100
9436322066
10189916224
1198225963
1253729280
1330466584
141b319648
1511a16719
hexb51e440

189916224 has 56 divisors (see below), whose sum is σ = 503834400. Its totient is φ = 63135744.

The previous prime is 189916217. The next prime is 189916277. The reversal of 189916224 is 422619981.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 85107 + ... + 87309.

Almost surely, 2189916224 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 189916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251917200).

189916224 is an abundant number, since it is smaller than the sum of its proper divisors (313918176).

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

189916224 is a wasteful number, since it uses less digits than its factorization.

189916224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2657 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 189916224 is about 13781.0095421199. The cubic root of 189916224 is about 574.8052008058.

The spelling of 189916224 in words is "one hundred eighty-nine million, nine hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 449 898 1347 1796 2203 2694 3592 4406 5388 6609 7184 8812 10776 13218 14368 17624 21552 26436 28736 35248 43104 52872 70496 86208 105744 140992 211488 422976 989147 1978294 2967441 3956588 5934882 7913176 11869764 15826352 23739528 31652704 47479056 63305408 94958112 189916224