Search a number
-
+
2130446448 = 243413271137
BaseRepresentation
bin111111011111100…
…0000100001110000
312111110210220010000
41332333000201300
513330343241243
6551222510000
7103536332064
oct17677004160
95443726100
102130446448
119a3643a49
124b5595300
1327c4bb100
14162d33aa4
15c707d5d3
hex7efc0870

2130446448 has 300 divisors, whose sum is σ = 6820398288. Its totient is φ = 641571840.

The previous prime is 2130446441. The next prime is 2130446473. The reversal of 2130446448 is 8446440312.

2130446448 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 4 + 4 + 644 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130446441) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15550636 + ... + 15550772.

Almost surely, 22130446448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130446448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410199144).

2130446448 is an abundant number, since it is smaller than the sum of its proper divisors (4689951840).

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

2130446448 is a wasteful number, since it uses less digits than its factorization.

2130446448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2130446448 is about 46156.7595049739. The cubic root of 2130446448 is about 1286.7382387754.

The spelling of 2130446448 in words is "two billion, one hundred thirty million, four hundred forty-six thousand, four hundred forty-eight".