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22974870016 = 297231092557
BaseRepresentation
bin10101011001011010…
…001011001000000000
32012022011021022201201
4111121122023020000
5334023031320031
614315435110544
71442224113220
oct253132131000
965264238651
1022974870016
11981a79598a
1245522a2454
132221b00a57
14117d42a080
158e6ee8d61
hex55968b200

22974870016 has 160 divisors (see below), whose sum is σ = 55267534080. Its totient is φ = 9328214016.

The previous prime is 22974870011. The next prime is 22974870067. The reversal of 22974870016 is 61007847922.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (22974870011) 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 15 ways as a sum of consecutive naturals, for example, 8983810 + ... + 8986366.

It is an arithmetic number, because the mean of its divisors is an integer number (345422088).

Almost surely, 222974870016 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 22974870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27633767040).

22974870016 is an abundant number, since it is smaller than the sum of its proper divisors (32292664064).

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

22974870016 is a wasteful number, since it uses less digits than its factorization.

22974870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 22974870016 in words is "twenty-two billion, nine hundred seventy-four million, eight hundred seventy thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 109 112 128 161 184 218 224 256 322 368 436 448 512 644 736 763 872 896 1288 1472 1526 1744 1792 2507 2557 2576 2944 3052 3488 3584 5014 5114 5152 5888 6104 6976 10028 10228 10304 11776 12208 13952 17549 17899 20056 20456 20608 24416 27904 35098 35798 40112 40912 41216 48832 55808 58811 70196 71596 80224 81824 82432 97664 117622 140392 143192 160448 163648 195328 235244 278713 280784 286384 320896 327296 390656 411677 470488 557426 561568 572768 641792 654592 823354 940976 1114852 1123136 1145536 1283584 1309184 1646708 1881952 1950991 2229704 2246272 2291072 3293416 3763904 3901982 4459408 4492544 4582144 6410399 6586832 7527808 7803964 8918816 8985088 9164288 12820798 13173664 15055616 15607928 17837632 25641596 26347328 30111232 31215856 35675264 44872793 51283192 52694656 62431712 71350528 89745586 102566384 105389312 124863424 142701056 179491172 205132768 210778624 249726848 358982344 410265536 499453696 717964688 820531072 998907392 1435929376 1641062144 2871858752 3282124288 5743717504 11487435008 22974870016