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22703984641 = 13234759139197
BaseRepresentation
bin10101001001010000…
…110101000000000001
32011121021112220212001
4111021100311000001
5332444210002031
614232521104001
71432424454022
oct251120650001
964537486761
1022703984641
1196a0897778
124497628001
1321aa957c50
141155474c49
158cd33b861
hex549435001

22703984641 has 64 divisors (see below), whose sum is σ = 26824089600. Its totient is φ = 19051312896.

The previous prime is 22703984629. The next prime is 22703984683. The reversal of 22703984641 is 14648930722.

It is a happy number.

It is not a de Polignac number, because 22703984641 - 215 = 22703951873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22703984591 and 22703984600.

It is not an unprimeable number, because it can be changed into a prime (22703924641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115248555 + ... + 115248751.

It is an arithmetic number, because the mean of its divisors is an integer number (419126400).

Almost surely, 222703984641 is an apocalyptic number.

It is an amenable number.

22703984641 is a deficient number, since it is larger than the sum of its proper divisors (4120104959).

22703984641 is a wasteful number, since it uses less digits than its factorization.

22703984641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 22703984641 in words is "twenty-two billion, seven hundred three million, nine hundred eighty-four thousand, six hundred forty-one".

Divisors: 1 13 23 47 59 139 197 299 611 767 1081 1357 1807 2561 2773 3197 4531 6533 8201 9259 11623 14053 17641 27383 36049 41561 58903 63779 84929 106613 120367 150259 151099 188623 212957 267329 355979 385447 546281 629809 829127 1287001 1615597 1953367 2452099 2768441 3475277 5010811 7101653 8187517 8865281 12564463 16731013 21002761 29601023 37158731 75933059 115248653 163338019 384813299 483063503 987129767 1746460357 22703984641