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823225884 = 2231317437219
BaseRepresentation
bin110001000100010…
…110111000011100
32010101001012121120
4301010112320130
53141221212014
6213404330540
726254206315
oct6104267034
92111035546
10823225884
11392764878
121ab843a50
13101725710
147b49360c
154c413ba9
hex31116e1c

823225884 has 96 divisors (see below), whose sum is σ = 2241550080. Its totient is φ = 232823808.

The previous prime is 823225883. The next prime is 823225933. The reversal of 823225884 is 488522328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823225883) 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 31 ways as a sum of consecutive naturals, for example, 110427 + ... + 117645.

It is an arithmetic number, because the mean of its divisors is an integer number (23349480).

Almost surely, 2823225884 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 823225884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120775040).

823225884 is an abundant number, since it is smaller than the sum of its proper divisors (1418324196).

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

823225884 is a wasteful number, since it uses less digits than its factorization.

823225884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7297 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 823225884 is about 28691.9132160963. The cubic root of 823225884 is about 937.2159529160.

The spelling of 823225884 in words is "eight hundred twenty-three million, two hundred twenty-five thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 43 51 52 68 78 86 102 129 156 172 204 221 258 442 516 559 663 731 884 1118 1326 1462 1677 2193 2236 2652 2924 3354 4386 6708 7219 8772 9503 14438 19006 21657 28509 28876 38012 43314 57018 86628 93847 114036 122723 187694 245446 281541 310417 368169 375388 490892 563082 620834 736338 931251 1126164 1241668 1472676 1595399 1862502 3190798 3725004 4035421 4786197 5277089 6381596 8070842 9572394 10554178 12106263 15831267 16141684 19144788 21108356 24212526 31662534 48425052 63325068 68602157 137204314 205806471 274408628 411612942 823225884