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2279049696 = 253471119601
BaseRepresentation
bin1000011111010111…
…1000100111100000
312212211102201110000
42013311320213200
514131414042241
61014051540000
7110322413520
oct20765704740
95784381400
102279049696
11a6a511850
125372ba600
132a421b321
14178977680
15d5133eb6
hex87d789e0

2279049696 has 480 divisors, whose sum is σ = 8810968320. Its totient is φ = 559872000.

The previous prime is 2279049683. The next prime is 2279049697. The reversal of 2279049696 is 6969409722.

2279049696 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 a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279049697) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3791796 + ... + 3792396.

It is an arithmetic number, because the mean of its divisors is an integer number (18356184).

Almost surely, 22279049696 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 2279049696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405484160).

2279049696 is an abundant number, since it is smaller than the sum of its proper divisors (6531918624).

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

2279049696 is a wasteful number, since it uses less digits than its factorization.

2279049696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 2279049696 is about 47739.3935445351. The cubic root of 2279049696 is about 1315.9859879083.

The spelling of 2279049696 in words is "two billion, two hundred seventy-nine million, forty-nine thousand, six hundred ninety-six".