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2275764696 = 233241218803
BaseRepresentation
bin1000011110100101…
…0110100111011000
312212121020211021100
42013221112213120
514130043432241
61013453311400
7110252452332
oct20751264730
95777224240
102275764696
11a68678777
12536195560
132a363b03a
14178360452
15d4bd59b6
hex87a569d8

2275764696 has 72 divisors (see below), whose sum is σ = 6317861940. Its totient is φ = 740046720.

The previous prime is 2275764671. The next prime is 2275764719. The reversal of 2275764696 is 6964675722.

2275764696 is a `hidden beast` number, since 2 + 2 + 7 + 576 + 4 + 69 + 6 = 666.

2275764696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111631 + ... + 130433.

Almost surely, 22275764696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2275764696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158930970).

2275764696 is an abundant number, since it is smaller than the sum of its proper divisors (4042097244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2275764696 is a wasteful number, since it uses less digits than its factorization.

2275764696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18897 (or 18849 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 2275764696 is about 47704.9755895546. The cubic root of 2275764696 is about 1315.3534007540.

The spelling of 2275764696 in words is "two billion, two hundred seventy-five million, seven hundred sixty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 1681 2952 3362 5043 6724 10086 13448 15129 18803 20172 30258 37606 40344 56409 60516 75212 112818 121032 150424 169227 225636 338454 451272 676908 770923 1353816 1541846 2312769 3083692 4625538 6167384 6938307 9251076 13876614 18502152 27753228 31607843 55506456 63215686 94823529 126431372 189647058 252862744 284470587 379294116 568941174 758588232 1137882348 2275764696