Search a number
-
+
10182222216 = 2332178318809
BaseRepresentation
bin10010111101110100…
…00110000110001000
3222021121122111000100
421132322012012020
5131323122102331
64402212205400
7510216314025
oct113672060610
928247574010
1010182222216
114355665291
121b82009860
13c6368b97a
146c843854c
153e8da4ae6
hex25ee86188

10182222216 has 48 divisors (see below), whose sum is σ = 29199023100. Its totient is φ = 3194422272.

The previous prime is 10182222209. The next prime is 10182222241. The reversal of 10182222216 is 61222228101.

It can be written as a sum of positive squares in 2 ways, for example, as 10171529316 + 10692900 = 100854^2 + 3270^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10182222216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4158181 + ... + 4160628.

Almost surely, 210182222216 is an apocalyptic number.

It is an amenable number.

10182222216 is an abundant number, since it is smaller than the sum of its proper divisors (19016800884).

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

10182222216 is a wasteful number, since it uses less digits than its factorization.

10182222216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8318838 (or 8318831 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10182222216 in words is "ten billion, one hundred eighty-two million, two hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 8318809 16637618 24956427 33275236 49912854 66550472 74869281 99825708 141419753 149738562 199651416 282839506 299477124 424259259 565679012 598954248 848518518 1131358024 1272777777 1697037036 2545555554 3394074072 5091111108 10182222216