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2281046976 = 2632131916033
BaseRepresentation
bin1000011111110110…
…0000001111000000
312212222012012012100
42013331200033000
514132422000401
61014202430400
7110345402505
oct20775401700
95788165170
102281046976
11a7065639a
12537b02400
132a476a450
14178d374ac
15d53cab86
hex87f603c0

2281046976 has 168 divisors, whose sum is σ = 7412197520. Its totient is φ = 664879104.

The previous prime is 2281046969. The next prime is 2281046981. The reversal of 2281046976 is 6796401822.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 134256 + ... + 150288.

Almost surely, 22281046976 is an apocalyptic number.

2281046976 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 2281046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706098760).

2281046976 is an abundant number, since it is smaller than the sum of its proper divisors (5131150544).

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

2281046976 is a wasteful number, since it uses less digits than its factorization.

2281046976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16083 (or 16070 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2281046976 is about 47760.3075366983. The cubic root of 2281046976 is about 1316.3703038013.

The spelling of 2281046976 in words is "two billion, two hundred eighty-one million, forty-six thousand, nine hundred seventy-six".