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2331505696 = 251335315877
BaseRepresentation
bin1000101011110111…
…1111010000100000
320000111010202112211
42022331333100200
514233331140241
61023204131504
7111530320462
oct21275772040
96014122484
102331505696
11a9708a813
12550996b94
132b2056590
14181910132
15d9a46781
hex8af7f420

2331505696 has 48 divisors (see below), whose sum is σ = 4957556184. Its totient is φ = 1072963584.

The previous prime is 2331505621. The next prime is 2331505697. The reversal of 2331505696 is 6965051332.

It is a happy number.

2331505696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2188368400 + 143137296 = 46780^2 + 11964^2 .

It is not an unprimeable number, because it can be changed into a prime (2331505697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138910 + ... + 154786.

Almost surely, 22331505696 is an apocalyptic number.

2331505696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331505696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478778092).

2331505696 is an abundant number, since it is smaller than the sum of its proper divisors (2626050488).

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

2331505696 is a wasteful number, since it uses less digits than its factorization.

2331505696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16253 (or 16245 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The square root of 2331505696 is about 48285.6676043730. The cubic root of 2331505696 is about 1326.0060134389.

The spelling of 2331505696 in words is "two billion, three hundred thirty-one million, five hundred five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 353 416 706 1412 2824 4589 5648 9178 11296 15877 18356 31754 36712 63508 73424 127016 146848 206401 254032 412802 508064 825604 1651208 3302416 5604581 6604832 11209162 22418324 44836648 72859553 89673296 145719106 179346592 291438212 582876424 1165752848 2331505696