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2281724928 = 210327113313
BaseRepresentation
bin1000100000000000…
…0101110000000000
312220000110122011200
42020000011300000
514133110144203
61014225141200
7110354225160
oct21000056000
95800418150
102281724928
11a70a7978a
1253818a800
132a4946bc2
141790725a0
15d54b19a3
hex88005c00

2281724928 has 264 divisors, whose sum is σ = 7620538848. Its totient is φ = 644087808.

The previous prime is 2281724927. The next prime is 2281724957. The reversal of 2281724928 is 8294271822.

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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281724923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7289700 + ... + 7290012.

Almost surely, 22281724928 is an apocalyptic number.

2281724928 is a gapful number since it is divisible by the number (28) 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 2281724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810269424).

2281724928 is an abundant number, since it is smaller than the sum of its proper divisors (5338813920).

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

2281724928 is a wasteful number, since it uses less digits than its factorization.

2281724928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 438 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2281724928 is about 47767.4044511527. The cubic root of 2281724928 is about 1316.5007040795.

The spelling of 2281724928 in words is "two billion, two hundred eighty-one million, seven hundred twenty-four thousand, nine hundred twenty-eight".