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2298781440 = 283253141157
BaseRepresentation
bin1000100100000100…
…1001111100000000
312221012120012022100
42021001021330000
514201442001230
61020034510400
7110652214464
oct21101117400
95835505270
102298781440
11a7a66957a
12541a35400
132a8339607
1417b4324a4
15d6c30660
hex89049f00

2298781440 has 432 divisors, whose sum is σ = 8463926016. Its totient is φ = 575078400.

The previous prime is 2298781427. The next prime is 2298781517. The reversal of 2298781440 is 441878922.

It is a super-2 number, since 2×22987814402 = 10568792217776947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14641842 + ... + 14641998.

Almost surely, 22298781440 is an apocalyptic number.

2298781440 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 2298781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231963008).

2298781440 is an abundant number, since it is smaller than the sum of its proper divisors (6165144576).

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

2298781440 is a wasteful number, since it uses less digits than its factorization.

2298781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

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

The square root of 2298781440 is about 47945.6091837407. The cubic root of 2298781440 is about 1319.7729637075.

The spelling of 2298781440 in words is "two billion, two hundred ninety-eight million, seven hundred eighty-one thousand, four hundred forty".