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988022868 = 2237223431699
BaseRepresentation
bin111010111001000…
…000100001010100
32112212010202120120
4322321000201110
54010413212433
6242012431540
733325025100
oct7271004124
92485122516
10988022868
11467793228
12236a785b0
13129905721
1495310900
155bb177b3
hex3ae40854

988022868 has 144 divisors (see below), whose sum is σ = 2865139200. Its totient is φ = 263583936.

The previous prime is 988022863. The next prime is 988022887. The reversal of 988022868 is 868220889.

It is a self number, because there is not a number n which added to its sum of digits gives 988022868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988022863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580683 + ... + 582381.

It is an arithmetic number, because the mean of its divisors is an integer number (19896800).

Almost surely, 2988022868 is an apocalyptic number.

988022868 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988022868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432569600).

988022868 is an abundant number, since it is smaller than the sum of its proper divisors (1877116332).

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

988022868 is a wasteful number, since it uses less digits than its factorization.

988022868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 988022868 is about 31432.8310528975. The cubic root of 988022868 is about 995.9915766775.

The spelling of 988022868 in words is "nine hundred eighty-eight million, twenty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 43 46 49 69 84 86 92 98 129 138 147 161 172 196 258 276 294 301 322 483 516 588 602 644 903 966 989 1127 1204 1699 1806 1932 1978 2107 2254 2967 3381 3398 3612 3956 4214 4508 5097 5934 6321 6762 6796 6923 8428 10194 11868 11893 12642 13524 13846 20388 20769 23786 25284 27692 35679 39077 41538 47572 48461 71358 73057 78154 83076 83251 96922 117231 142716 145383 146114 156308 166502 193844 219171 234462 249753 273539 290766 292228 333004 438342 468924 499506 511399 547078 581532 820617 876684 999012 1022798 1094156 1534197 1641234 1680311 1914773 2045596 3068394 3282468 3360622 3579793 3829546 5040933 5744319 6136788 6721244 7159586 7659092 10081866 10739379 11488638 11762177 14319172 20163732 21478758 22977276 23524354 35286531 42957516 47048708 70573062 82335239 141146124 164670478 247005717 329340956 494011434 988022868