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2254031311 = 72474092393
BaseRepresentation
bin1000011001011001…
…1100100111001111
312211002100122200011
42012112130213033
514104013000221
61011355414051
7106566643600
oct20626344717
95732318604
102254031311
11a573840a4
1252aa54327
1329bc9b94c
14175503da7
15d2d411e1
hex8659c9cf

2254031311 has 24 divisors (see below), whose sum is σ = 2685493440. Its totient is φ = 1885508352.

The previous prime is 2254031267. The next prime is 2254031321. The reversal of 2254031311 is 1131304522.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2254031311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254031321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940731 + ... + 943123.

It is an arithmetic number, because the mean of its divisors is an integer number (111895560).

Almost surely, 22254031311 is an apocalyptic number.

2254031311 is a deficient number, since it is larger than the sum of its proper divisors (431462129).

2254031311 is a wasteful number, since it uses less digits than its factorization.

2254031311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2254031311 is about 47476.6396346666. The cubic root of 2254031311 is about 1311.1528245209.

Adding to 2254031311 its reverse (1131304522), we get a palindrome (3385335833).

The spelling of 2254031311 in words is "two billion, two hundred fifty-four million, thirty-one thousand, three hundred eleven".

Divisors: 1 7 47 49 329 409 2303 2393 2863 16751 19223 20041 112471 117257 134561 787297 941927 978737 5511079 6851159 46000639 47958113 322004473 2254031311