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2285127936 = 28347213173
BaseRepresentation
bin1000100000110100…
…0100100100000000
312220020212112020000
42020031010210000
514134443043221
61014430120000
7110425160400
oct21015044400
95806775200
102285127936
11a72993493
12539350000
132a5568b10
141796ba800
15d5934e26
hex88344900

2285127936 has 540 divisors, whose sum is σ = 8585358012. Its totient is φ = 599187456.

The previous prime is 2285127869. The next prime is 2285127941. The reversal of 2285127936 is 6397215822.

It can be written as a sum of positive squares in 2 ways, for example, as 1244678400 + 1040449536 = 35280^2 + 32256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2285127891 and 2285127900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13208746 + ... + 13208918.

Almost surely, 22285127936 is an apocalyptic number.

2285127936 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 2285127936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292679006).

2285127936 is an abundant number, since it is smaller than the sum of its proper divisors (6300230076).

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

2285127936 is a wasteful number, since it uses less digits than its factorization.

2285127936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2285127936 is about 47803.0117879616. The cubic root of 2285127936 is about 1317.1548637169.

The spelling of 2285127936 in words is "two billion, two hundred eighty-five million, one hundred twenty-seven thousand, nine hundred thirty-six".