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159994224 = 24331331919
BaseRepresentation
bin10011000100101…
…01000101110000
3102011001112211000
421202111011300
5311424303344
623513122000
73651633315
oct1142250560
9364045730
10159994224
1182349035
12456b9300
13271bac50
141736ad0c
15e0a5a69
hex9895170

159994224 has 160 divisors (see below), whose sum is σ = 511078400. Its totient is φ = 47589120.

The previous prime is 159994223. The next prime is 159994229. The reversal of 159994224 is 422499951.

It is a self number, because there is not a number n which added to its sum of digits gives 159994224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159994223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 173637 + ... + 174555.

It is an arithmetic number, because the mean of its divisors is an integer number (3194240).

Almost surely, 2159994224 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 159994224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255539200).

159994224 is an abundant number, since it is smaller than the sum of its proper divisors (351084176).

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

159994224 is a wasteful number, since it uses less digits than its factorization.

159994224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 968 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 159994224 is about 12648.8823221659. The cubic root of 159994224 is about 542.8769905420.

The spelling of 159994224 in words is "one hundred fifty-nine million, nine hundred ninety-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 919 936 1116 1209 1404 1488 1612 1674 1838 1872 2232 2418 2757 2808 3224 3348 3627 3676 4464 4836 5514 5616 6448 6696 7254 7352 8271 9672 10881 11028 11947 13392 14508 14704 16542 19344 21762 22056 23894 24813 28489 29016 33084 35841 43524 44112 47788 49626 56978 58032 66168 71682 85467 87048 95576 99252 107523 113956 132336 143364 170934 174096 191152 198504 215046 227912 256401 286728 322569 341868 370357 397008 430092 455824 512802 573456 645138 683736 740714 769203 860184 1025604 1111071 1290276 1367472 1481428 1538406 1720368 2051208 2222142 2580552 2962856 3076812 3333213 4102416 4444284 5161104 5925712 6153624 6666426 8888568 9999639 12307248 13332852 17777136 19999278 26665704 39998556 53331408 79997112 159994224