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2279246880 = 253529732243
BaseRepresentation
bin1000011111011010…
…1000110000100000
312212211210201221010
42013312220300200
514131441400010
61014100100520
7110324164431
oct20766506040
95784721833
102279246880
11a6a636a09
12537394740
132a4289cc1
141789c9488
15d5172620
hex87da8c20

2279246880 has 192 divisors, whose sum is σ = 7532300160. Its totient is φ = 578543616.

The previous prime is 2279246873. The next prime is 2279246881. The reversal of 2279246880 is 886429722.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2279246881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015039 + ... + 1017281.

It is an arithmetic number, because the mean of its divisors is an integer number (39230730).

Almost surely, 22279246880 is an apocalyptic number.

2279246880 is a gapful number since it is divisible by the number (20) 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 2279246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766150080).

2279246880 is an abundant number, since it is smaller than the sum of its proper divisors (5253053280).

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

2279246880 is a wasteful number, since it uses less digits than its factorization.

2279246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2279246880 is about 47741.4587125278. The cubic root of 2279246880 is about 1316.0239399691.

The spelling of 2279246880 in words is "two billion, two hundred seventy-nine million, two hundred forty-six thousand, eight hundred eighty".