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2288093949 = 323716974049
BaseRepresentation
bin1000100001100001…
…1000101011111101
312220110110012211100
42020120120223331
514141223001244
61015013443313
7110462322561
oct21030305375
95813405740
102288093949
11a74629939
1253a340539
132a6066b5b
14179c4d6a1
15d5d1db69
hex88618afd

2288093949 has 24 divisors (see below), whose sum is σ = 3397188600. Its totient is φ = 1482928128.

The previous prime is 2288093897. The next prime is 2288093987. The reversal of 2288093949 is 9493908822.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1135016100 + 1153077849 = 33690^2 + 33957^2 .

It is a de Polignac number, because none of the positive numbers 2k-2288093949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2288093895 and 2288093904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288093149) 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, 563077 + ... + 567125.

It is an arithmetic number, because the mean of its divisors is an integer number (141549525).

Almost surely, 22288093949 is an apocalyptic number.

It is an amenable number.

2288093949 is a deficient number, since it is larger than the sum of its proper divisors (1109094651).

2288093949 is a wasteful number, since it uses less digits than its factorization.

2288093949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 2288093949 is about 47834.0250135821. The cubic root of 2288093949 is about 1317.7244903819.

The spelling of 2288093949 in words is "two billion, two hundred eighty-eight million, ninety-three thousand, nine hundred forty-nine".

Divisors: 1 3 9 37 111 333 1697 4049 5091 12147 15273 36441 62789 149813 188367 449439 565101 1348317 6871153 20613459 61840377 254232661 762697983 2288093949