Search a number
-
+
822268092 = 2231911933023
BaseRepresentation
bin110001000000101…
…101000010111100
32010022020112202210
4301000231002330
53141000034332
6213332020420
726243110032
oct6100550274
92108215683
10822268092
11392170208
121ab461710
1310147b789
147b2c4552
154c2c4ecc
hex3102d0bc

822268092 has 48 divisors (see below), whose sum is σ = 2021967360. Its totient is φ = 259360128.

The previous prime is 822268067. The next prime is 822268157. The reversal of 822268092 is 290862228.

It is a super-2 number, since 2×8222680922 = 1352249630242640928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 822268092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270493 + ... + 273515.

It is an arithmetic number, because the mean of its divisors is an integer number (42124320).

Almost surely, 2822268092 is an apocalyptic number.

It is an amenable number.

822268092 is an abundant number, since it is smaller than the sum of its proper divisors (1199699268).

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

822268092 is a wasteful number, since it uses less digits than its factorization.

822268092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 822268092 is about 28675.2173836573. The cubic root of 822268092 is about 936.8523401600.

The spelling of 822268092 in words is "eight hundred twenty-two million, two hundred sixty-eight thousand, ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 1193 2386 3023 3579 4772 6046 7158 9069 12092 14316 18138 22667 36276 45334 57437 68001 90668 114874 136002 172311 229748 272004 344622 689244 3606439 7212878 10819317 14425756 21638634 43277268 68522341 137044682 205567023 274089364 411134046 822268092