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22272133741 = 1121314159017
BaseRepresentation
bin10100101111100001…
…011100101001101101
32010111011221121210021
4110233201130221231
5331103131234431
614122013042141
71415632004344
oct245741345155
963434847707
1022272133741
11949a047800
124396a86351
13213c344080
141113d7cb5b
158a5485b11
hex52f85ca6d

22272133741 has 12 divisors (see below), whose sum is σ = 26364091516. Its totient is φ = 18689901120.

The previous prime is 22272133739. The next prime is 22272133783. The reversal of 22272133741 is 14733127222.

It can be written as a sum of positive squares in 2 ways, for example, as 8509324516 + 13762809225 = 92246^2 + 117315^2 .

It is not a de Polignac number, because 22272133741 - 21 = 22272133739 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22272133697 and 22272133706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22272133711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7077936 + ... + 7081081.

Almost surely, 222272133741 is an apocalyptic number.

It is an amenable number.

22272133741 is a deficient number, since it is larger than the sum of its proper divisors (4091957775).

22272133741 is a wasteful number, since it uses less digits than its factorization.

22272133741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14159052 (or 14159041 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The spelling of 22272133741 in words is "twenty-two billion, two hundred seventy-two million, one hundred thirty-three thousand, seven hundred forty-one".

Divisors: 1 11 13 121 143 1573 14159017 155749187 184067221 1713241057 2024739431 22272133741