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163200996 = 223274315061
BaseRepresentation
bin10011011101000…
…11111111100100
3102101002110200100
421232203333210
5313234412441
624105544100
74021120440
oct1156437744
9371073610
10163200996
1184139362
12467a5030
1327a7174a
1417963820
15e4dacb6
hex9ba3fe4

163200996 has 72 divisors (see below), whose sum is σ = 482465984. Its totient is φ = 45541440.

The previous prime is 163200971. The next prime is 163200997. The reversal of 163200996 is 699002361.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 163200996.

It is not an unprimeable number, because it can be changed into a prime (163200997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3306 + ... + 18366.

Almost surely, 2163200996 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 163200996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241232992).

163200996 is an abundant number, since it is smaller than the sum of its proper divisors (319264988).

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

163200996 is a wasteful number, since it uses less digits than its factorization.

163200996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15121 (or 15116 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 163200996 is about 12775.0145205397. The cubic root of 163200996 is about 546.4799949261.

The spelling of 163200996 in words is "one hundred sixty-three million, two hundred thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10836 15061 30122 45183 60244 90366 105427 135549 180732 210854 271098 316281 421708 542196 632562 647623 948843 1265124 1295246 1897686 1942869 2590492 3795372 3885738 4533361 5828607 7771476 9066722 11657214 13600083 18133444 23314428 27200166 40800249 54400332 81600498 163200996