Search a number
-
+
207822112 = 2523417197
BaseRepresentation
bin11000110001100…
…01110100100000
3112111001110100021
430120301310200
5411200301422
632342203224
75102313241
oct1430616440
9474043307
10207822112
11a7345913
1259723514
1334095784
141d85acc8
15133a1dc7
hexc631d20

207822112 has 96 divisors (see below), whose sum is σ = 448084224. Its totient is φ = 94617600.

The previous prime is 207822107. The next prime is 207822119. The reversal of 207822112 is 211228702.

It is a super-2 number, since 2×2078221122 = 86380060472281088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (207822119) 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 15 ways as a sum of consecutive naturals, for example, 2142448 + ... + 2142544.

It is an arithmetic number, because the mean of its divisors is an integer number (4667544).

Almost surely, 2207822112 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 207822112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224042112).

207822112 is an abundant number, since it is smaller than the sum of its proper divisors (240262112).

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

207822112 is a wasteful number, since it uses less digits than its factorization.

207822112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 207822112 is about 14416.0366259246. The cubic root of 207822112 is about 592.3302576541.

The spelling of 207822112 in words is "two hundred seven million, eight hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 41 46 71 82 92 97 142 164 184 194 284 328 368 388 568 656 736 776 943 1136 1312 1552 1633 1886 2231 2272 2911 3104 3266 3772 3977 4462 5822 6532 6887 7544 7954 8924 11644 13064 13774 15088 15908 17848 23288 26128 27548 30176 31816 35696 46576 52256 55096 63632 66953 71392 91471 93152 110192 127264 133906 158401 182942 220384 267812 282367 316802 365884 535624 564734 633604 731768 1071248 1129468 1267208 1463536 2142496 2258936 2534416 2927072 4517872 5068832 6494441 9035744 12988882 25977764 51955528 103911056 207822112