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1226540133 = 327134136527
BaseRepresentation
bin100100100011011…
…1000010001100101
310011110221200202100
41021012320101211
510002443241013
6321413002313
742252263520
oct11106702145
93143850670
101226540133
1157a393835
122a2923399
131671576c0
14b8c7bbb7
1572a2e473
hex491b8465

1226540133 has 48 divisors (see below), whose sum is σ = 2233760256. Its totient is φ = 631169280.

The previous prime is 1226540131. The next prime is 1226540173. The reversal of 1226540133 is 3310456221.

1226540133 is a `hidden beast` number, since 1 + 2 + 2 + 654 + 0 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 1226540133 - 21 = 1226540131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1226540097 and 1226540106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226540131) 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 47 ways as a sum of consecutive naturals, for example, 15316 + ... + 51842.

It is an arithmetic number, because the mean of its divisors is an integer number (46536672).

Almost surely, 21226540133 is an apocalyptic number.

1226540133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1226540133 is a deficient number, since it is larger than the sum of its proper divisors (1007220123).

1226540133 is a wasteful number, since it uses less digits than its factorization.

1226540133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36594 (or 36591 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1226540133 is about 35021.9949888638. The cubic root of 1226540133 is about 1070.4357072025.

Adding to 1226540133 its reverse (3310456221), we get a palindrome (4536996354).

The spelling of 1226540133 in words is "one billion, two hundred twenty-six million, five hundred forty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 13 21 39 41 63 91 117 123 273 287 369 533 819 861 1599 2583 3731 4797 11193 33579 36527 109581 255689 328743 474851 767067 1424553 1497607 2301201 3323957 4273659 4492821 9971871 10483249 13478463 19468891 29915613 31449747 58406673 94349241 136282237 175220019 408846711 1226540133