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22045122333 = 3213733257053
BaseRepresentation
bin10100100001111111…
…011101111100011101
32002220100210020200100
4110201333131330131
5330122022403313
614043303251313
71410204306453
oct244177357435
962810706610
1022045122333
119392995773
124332a49b39
1321042c01b0
1410d1b689d3
15890593173
hex521fddf1d

22045122333 has 24 divisors (see below), whose sum is σ = 34339329752. Its totient is φ = 13547668608.

The previous prime is 22045122301. The next prime is 22045122371. The reversal of 22045122333 is 33322154022.

22045122333 is a `hidden beast` number, since 2 + 204 + 5 + 122 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13632197049 + 8412925284 = 116757^2 + 91722^2 .

It is not a de Polignac number, because 22045122333 - 25 = 22045122301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22045122297 and 22045122306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22045122733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42766 + ... + 214287.

Almost surely, 222045122333 is an apocalyptic number.

It is an amenable number.

22045122333 is a deficient number, since it is larger than the sum of its proper divisors (12294207419).

22045122333 is a wasteful number, since it uses less digits than its factorization.

22045122333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257805 (or 257802 counting only the distinct ones).

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

Adding to 22045122333 its reverse (33322154022), we get a palindrome (55367276355).

The spelling of 22045122333 in words is "twenty-two billion, forty-five million, one hundred twenty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 117 733 2199 6597 9529 28587 85761 257053 771159 2313477 3341689 10025067 30075201 188419849 565259547 1695778641 2449458037 7348374111 22045122333