Search a number
-
+
822247056 = 243223409607
BaseRepresentation
bin110001000000100…
…111111010010000
32010022012110220200
4301000213322100
53140443401211
6213331335200
726242661511
oct6100477220
92108173820
10822247056
11392156424
121ab451500
13101472027
147b2baa08
154c2bdb56
hex31027e90

822247056 has 120 divisors (see below), whose sum is σ = 2411036160. Its totient is φ = 261093888.

The previous prime is 822247051. The next prime is 822247073. The reversal of 822247056 is 650742228.

It is a super-2 number, since 2×8222470562 = 1352180442201334272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 822247056.

It is not an unprimeable number, because it can be changed into a prime (822247051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354305 + ... + 1354911.

It is an arithmetic number, because the mean of its divisors is an integer number (20091968).

Almost surely, 2822247056 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 822247056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205518080).

822247056 is an abundant number, since it is smaller than the sum of its proper divisors (1588789104).

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

822247056 is a wasteful number, since it uses less digits than its factorization.

822247056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 822247056 is about 28674.8505837432. The cubic root of 822247056 is about 936.8443509595.

It can be divided in two parts, 8222 and 47056, that added together give a triangular number (55278 = T332).

The spelling of 822247056 in words is "eight hundred twenty-two million, two hundred forty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 409 414 552 607 818 828 1104 1214 1227 1636 1656 1821 2428 2454 3272 3312 3642 3681 4856 4908 5463 6544 7284 7362 9407 9712 9816 10926 13961 14568 14724 18814 19632 21852 27922 28221 29136 29448 37628 41883 43704 55844 56442 58896 75256 83766 84663 87408 111688 112884 125649 150512 167532 169326 223376 225768 248263 251298 335064 338652 451536 496526 502596 670128 677304 744789 993052 1005192 1354608 1489578 1986104 2010384 2234367 2979156 3972208 4468734 5710049 5958312 8937468 11420098 11916624 17130147 17874936 22840196 34260294 35749872 45680392 51390441 68520588 91360784 102780882 137041176 205561764 274082352 411123528 822247056