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2270714880 = 2103573431
BaseRepresentation
bin1000011101011000…
…0101110000000000
312212020202021020010
42013112011300000
514122300334010
61013153144520
7110161521000
oct20726056000
95766667203
102270714880
11a65839775
1253455b140
132a2590695
14177808000
15d4539620
hex87585c00

2270714880 has 352 divisors, whose sum is σ = 8489318400. Its totient is φ = 517816320.

The previous prime is 2270714851. The next prime is 2270714891. The reversal of 2270714880 is 884170722.

It is a super-2 number, since 2×22707148802 = 10312292132506828800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5268265 + ... + 5268695.

Almost surely, 22270714880 is an apocalyptic number.

2270714880 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 2270714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244659200).

2270714880 is an abundant number, since it is smaller than the sum of its proper divisors (6218603520).

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

2270714880 is an equidigital number, since it uses as much as digits as its factorization.

2270714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 2270714880 is about 47652.0186351009. The cubic root of 2270714880 is about 1314.3797775868.

The spelling of 2270714880 in words is "two billion, two hundred seventy million, seven hundred fourteen thousand, eight hundred eighty".