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1225340433 = 331723373137
BaseRepresentation
bin100100100001001…
…0011011000010001
310011101200202002000
41021002103120101
510002141343213
6321331144213
742236136042
oct11102233021
93141622060
101225340433
11579744449
122a2445069
13166b27615
14b8a488c9
1572893c73
hex49093611

1225340433 has 64 divisors (see below), whose sum is σ = 2060536320. Its totient is φ = 715309056.

The previous prime is 1225340423. The next prime is 1225340437. The reversal of 1225340433 is 3340435221.

1225340433 is a `hidden beast` number, since 1 + 2 + 253 + 404 + 3 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1225340433 is a prime.

It is a super-3 number, since 3×12253404333 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1225340397 and 1225340406.

It is not an unprimeable number, because it can be changed into a prime (1225340437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389041 + ... + 392177.

It is an arithmetic number, because the mean of its divisors is an integer number (32195880).

Almost surely, 21225340433 is an apocalyptic number.

It is an amenable number.

1225340433 is a deficient number, since it is larger than the sum of its proper divisors (835195887).

1225340433 is a wasteful number, since it uses less digits than its factorization.

1225340433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 1225340433 is about 35004.8629907332. The cubic root of 1225340433 is about 1070.0865894930.

Adding to 1225340433 its reverse (3340435221), we get a palindrome (4565775654).

The spelling of 1225340433 in words is "one billion, two hundred twenty-five million, three hundred forty thousand, four hundred thirty-three".

Divisors: 1 3 9 17 23 27 37 51 69 111 153 207 333 391 459 621 629 851 999 1173 1887 2553 3137 3519 5661 7659 9411 10557 14467 16983 22977 28233 43401 53329 72151 84699 116069 130203 159987 216453 348207 390609 479961 649359 1044621 1226567 1439883 1948077 1973173 2669587 3133863 3679701 5919519 8008761 11039103 17758557 24026283 33117309 45382979 53275671 72078849 136148937 408446811 1225340433