Search a number
-
+
2190171312 = 24347241421
BaseRepresentation
bin1000001010001011…
…0101110010110000
312122122012020020000
42002202311302300
513441140440222
61001154550000
7105163102050
oct20242656260
95578166200
102190171312
11a2432713a
12511598300
1328b99ca74
1416ac3d560
15cc4299ac
hex828b5cb0

2190171312 has 100 divisors (see below), whose sum is σ = 7244591376. Its totient is φ = 625760640.

The previous prime is 2190171307. The next prime is 2190171317. The reversal of 2190171312 is 2131710912.

It is an interprime number because it is at equal distance from previous prime (2190171307) and next prime (2190171317).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2190171317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111639 + ... + 129782.

Almost surely, 22190171312 is an apocalyptic number.

It is an amenable number.

2190171312 is an abundant number, since it is smaller than the sum of its proper divisors (5054420064).

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

2190171312 is a wasteful number, since it uses less digits than its factorization.

2190171312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241448 (or 241433 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 2190171312 is about 46799.2661480925. The cubic root of 2190171312 is about 1298.6517208699.

The spelling of 2190171312 in words is "two billion, one hundred ninety million, one hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 241421 482842 724263 965684 1448526 1689947 1931368 2172789 2897052 3379894 3862736 4345578 5069841 5794104 6518367 6759788 8691156 10139682 11588208 13036734 13519576 15209523 17382312 19555101 20279364 26073468 27039152 30419046 34764624 39110202 40558728 45628569 52146936 60838092 78220404 81117456 91257138 104293872 121676184 136885707 156440808 182514276 243352368 273771414 312881616 365028552 547542828 730057104 1095085656 2190171312