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226496349 = 3233176031
BaseRepresentation
bin11011000000000…
…00111101011101
3120210012012120200
431200000331131
5430440340344
634250334113
75420121132
oct1540007535
9523165520
10226496349
11106940072
1263a2a339
1337c03611
142211c589
1514d40069
hexd800f5d

226496349 has 12 divisors (see below), whose sum is σ = 328154112. Its totient is φ = 150539400.

The previous prime is 226496327. The next prime is 226496363. The reversal of 226496349 is 943694622.

226496349 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 9 + 634 + 9 = 666.

It is not a de Polignac number, because 226496349 - 217 = 226365277 is a prime.

It is a super-3 number, since 3×2264963493 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226496399) 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 11 ways as a sum of consecutive naturals, for example, 35037 + ... + 40994.

It is an arithmetic number, because the mean of its divisors is an integer number (27346176).

Almost surely, 2226496349 is an apocalyptic number.

It is an amenable number.

226496349 is a deficient number, since it is larger than the sum of its proper divisors (101657763).

226496349 is a wasteful number, since it uses less digits than its factorization.

226496349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76368 (or 76365 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 226496349 is about 15049.7956464531. The cubic root of 226496349 is about 609.5655322468.

The spelling of 226496349 in words is "two hundred twenty-six million, four hundred ninety-six thousand, three hundred forty-nine".

Divisors: 1 3 9 331 993 2979 76031 228093 684279 25166261 75498783 226496349