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226533777345 = 32546710779623
BaseRepresentation
bin1101001011111001110…
…1110001111111000001
3210122201112021020021200
43102332131301333001
512202420121333340
6252022421011413
722236501223311
oct3227635617701
9718645236250
10226533777345
1188088458907
1237aa1853b69
1318492543045
14ad70041441
155d5cb14330
hex34be771fc1

226533777345 has 24 divisors (see below), whose sum is σ = 393499394496. Its totient is φ = 120559292448.

The previous prime is 226533777313. The next prime is 226533777347. The reversal of 226533777345 is 543777335622.

226533777345 is a `hidden beast` number, since 2 + 2 + 6 + 533 + 7 + 77 + 34 + 5 = 666.

It is not a de Polignac number, because 226533777345 - 25 = 226533777313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 226533777291 and 226533777300.

It is not an unprimeable number, because it can be changed into a prime (226533777347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5368797 + ... + 5410826.

It is an arithmetic number, because the mean of its divisors is an integer number (16395808104).

Almost surely, 2226533777345 is an apocalyptic number.

It is an amenable number.

226533777345 is a deficient number, since it is larger than the sum of its proper divisors (166965617151).

226533777345 is a wasteful number, since it uses less digits than its factorization.

226533777345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780101 (or 10780098 counting only the distinct ones).

The product of its digits is 22226400, while the sum is 54.

The spelling of 226533777345 in words is "two hundred twenty-six billion, five hundred thirty-three million, seven hundred seventy-seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 467 1401 2335 4203 7005 21015 10779623 32338869 53898115 97016607 161694345 485083035 5034083941 15102251823 25170419705 45306755469 75511259115 226533777345