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2284077312 = 28331122731
BaseRepresentation
bin1000100000100100…
…0100000100000000
312220011220011001000
42020021010010000
514134210433222
61014351412000
7110413223346
oct21011040400
95804804030
102284077312
11a72336100
12538b24000
132a528b84a
141794c5996
15d57c89ac
hex88244100

2284077312 has 216 divisors, whose sum is σ = 7426996640. Its totient is φ = 691891200.

The previous prime is 2284077287. The next prime is 2284077349. The reversal of 2284077312 is 2137704822.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 834987 + ... + 837717.

Almost surely, 22284077312 is an apocalyptic number.

2284077312 is a gapful number since it is divisible by the number (22) 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 2284077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713498320).

2284077312 is an abundant number, since it is smaller than the sum of its proper divisors (5142919328).

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

2284077312 is a wasteful number, since it uses less digits than its factorization.

2284077312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2284077312 is about 47792.0214261753. The cubic root of 2284077312 is about 1316.9529717901.

The spelling of 2284077312 in words is "two billion, two hundred eighty-four million, seventy-seven thousand, three hundred twelve".