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225605342336 = 27113474091129
BaseRepresentation
bin1101001000011100100…
…0000101010010000000
3210120022211020211212212
43102013020011102000
512144014431423321
6251350333241252
722204465524563
oct3220710052200
9716284224785
10225605342336
1187751374950
1237882933228
13183750a1b0a
14acc2a024da
155d0636c55b
hex3487205480

225605342336 has 128 divisors (see below), whose sum is σ = 493358904000. Its totient is φ = 101912002560.

The previous prime is 225605342323. The next prime is 225605342341. The reversal of 225605342336 is 633243506522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 225605342293 and 225605342302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199827020 + ... + 199828148.

Almost surely, 2225605342336 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 225605342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246679452000).

225605342336 is an abundant number, since it is smaller than the sum of its proper divisors (267753561664).

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

225605342336 is a wasteful number, since it uses less digits than its factorization.

225605342336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 41.

Adding to 225605342336 its reverse (633243506522), we get a palindrome (858848848858).

The spelling of 225605342336 in words is "two hundred twenty-five billion, six hundred five million, three hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 347 352 409 694 704 818 1129 1388 1408 1636 2258 2776 3272 3817 4499 4516 5552 6544 7634 8998 9032 11104 12419 13088 15268 17996 18064 22208 24838 26176 30536 35992 36128 44416 49676 52352 61072 71984 72256 99352 122144 141923 143968 144512 198704 244288 283846 287936 391763 397408 461761 488576 567692 575872 783526 794816 923522 1135384 1561153 1567052 1589632 1847044 2270768 3122306 3134104 3694088 4309393 4541536 5079371 6244612 6268208 7388176 8618786 9083072 10158742 12489224 12536416 14776352 17237572 18166144 20317484 24978448 25072832 29552704 34475144 40634968 49956896 50145664 59105408 68950288 81269936 99913792 137900576 160231067 162539872 199827584 275801152 320462134 325079744 551602304 640924268 650159488 1281848536 1762541737 2563697072 3525083474 5127394144 7050166948 10254788288 14100333896 20509576576 28200667792 56401335584 112802671168 225605342336