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226452553353 = 32132148883993
BaseRepresentation
bin1101001011100110011…
…1111011111010001001
3210122111212102121220200
43102321213323322021
512202233323201403
6252010400042413
722234463641545
oct3227147737211
9718455377820
10226452553353
1188046621044
1237a7a603409
131847b774800
14ad6333aa25
155d5591cca3
hex34b99fbe89

226452553353 has 18 divisors (see below), whose sum is σ = 354195021726. Its totient is φ = 139355416512.

The previous prime is 226452553331. The next prime is 226452553367. The reversal of 226452553353 is 353355254622.

226452553353 is a `hidden beast` number, since 2 + 2 + 6 + 45 + 2 + 553 + 3 + 53 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5286453264 + 221166100089 = 72708^2 + 470283^2 .

It is not a de Polignac number, because 226452553353 - 26 = 226452553289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 226452553299 and 226452553308.

It is not an unprimeable number, because it can be changed into a prime (226452553253) 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 17 ways as a sum of consecutive naturals, for example, 74440476 + ... + 74443517.

It is an arithmetic number, because the mean of its divisors is an integer number (19677501207).

Almost surely, 2226452553353 is an apocalyptic number.

It is an amenable number.

226452553353 is a deficient number, since it is larger than the sum of its proper divisors (127742468373).

226452553353 is a wasteful number, since it uses less digits than its factorization.

226452553353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148884025 (or 148884009 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 45.

The spelling of 226452553353 in words is "two hundred twenty-six billion, four hundred fifty-two million, five hundred fifty-three thousand, three hundred fifty-three".

Divisors: 1 3 9 13 39 117 169 507 1521 148883993 446651979 1339955937 1935491909 5806475727 17419427181 25161394817 75484184451 226452553353