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2264467677 = 317431576577
BaseRepresentation
bin1000011011111001…
…0000100011011101
312211210222212200020
42012332100203131
514114200431202
61012411222353
7110054441403
oct20676204335
95753885606
102264467677
11a6226209a
125324479b9
132a11b4004
14176a5d473
15d3c035bc
hex86f908dd

2264467677 has 32 divisors (see below), whose sum is σ = 3292578432. Its totient is φ = 1378750464.

The previous prime is 2264467663. The next prime is 2264467759. The reversal of 2264467677 is 7767644622.

2264467677 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2264467677 - 212 = 2264463581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264467607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341013 + ... + 347589.

It is an arithmetic number, because the mean of its divisors is an integer number (102893076).

Almost surely, 22264467677 is an apocalyptic number.

It is an amenable number.

2264467677 is a deficient number, since it is larger than the sum of its proper divisors (1028110755).

2264467677 is a wasteful number, since it uses less digits than its factorization.

2264467677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6797.

The product of its digits is 4741632, while the sum is 51.

The square root of 2264467677 is about 47586.4232423493. The cubic root of 2264467677 is about 1313.1732942420.

The spelling of 2264467677 in words is "two billion, two hundred sixty-four million, four hundred sixty-seven thousand, six hundred seventy-seven".

Divisors: 1 3 17 43 51 129 157 471 731 2193 2669 6577 6751 8007 19731 20253 111809 114767 282811 335427 344301 848433 1032589 3097767 4807787 14423361 17554013 44401327 52662039 133203981 754822559 2264467677