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2226263206431 = 311691666114657
BaseRepresentation
bin100000011001010111101…
…000001010101000011111
321212211101002222122201210
4200121113220022220133
5242433341340101211
64422421534435503
7316561610012025
oct40312750125037
97784332878653
102226263206431
117891755a5770
122bb56b062b93
13131c21a11784
1479a749bc715
153cd9be979a6
hex20657a0aa1f

2226263206431 has 32 divisors (see below), whose sum is σ = 3243595412736. Its totient is φ = 1347003648000.

The previous prime is 2226263206421. The next prime is 2226263206529. The reversal of 2226263206431 is 1346023626222.

It is not a de Polignac number, because 2226263206431 - 26 = 2226263206367 is a prime.

It is a super-2 number, since 2×22262632064312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2226263206431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226263206421) 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 31 ways as a sum of consecutive naturals, for example, 151883455 + ... + 151898111.

It is an arithmetic number, because the mean of its divisors is an integer number (101362356648).

Almost surely, 22226263206431 is an apocalyptic number.

2226263206431 is a deficient number, since it is larger than the sum of its proper divisors (1017332206305).

2226263206431 is a wasteful number, since it uses less digits than its factorization.

2226263206431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22023.

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 2226263206431 in words is "two trillion, two hundred twenty-six billion, two hundred sixty-three million, two hundred six thousand, four hundred thirty-one".

Divisors: 1 3 11 33 691 2073 6661 7601 14657 19983 22803 43971 73271 161227 219813 483681 4602751 10127987 13808253 30383961 50630261 97630277 111407857 151890783 292890831 334223571 1073933047 3221799141 67462521407 202387564221 742087735477 2226263206431