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2130444288 = 21833743
BaseRepresentation
bin111111011111100…
…0000000000000000
312111110210210011000
41332333000000000
513330343204123
6551222452000
7103536322560
oct17677000000
95443723130
102130444288
119a3642365
124b5594000
1327c4ba12b
14162d32da0
15c707cb43
hex7efc0000

2130444288 has 304 divisors, whose sum is σ = 7381960960. Its totient is φ = 594542592.

The previous prime is 2130444287. The next prime is 2130444289. The reversal of 2130444288 is 8824440312.

2130444288 is a `hidden beast` number, since 2 + 130 + 4 + 442 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (2130444287) and next prime (2130444289).

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 (2130444287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49545195 + ... + 49545237.

Almost surely, 22130444288 is an apocalyptic number.

2130444288 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 2130444288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690980480).

2130444288 is an abundant number, since it is smaller than the sum of its proper divisors (5251516672).

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

2130444288 is an frugal number, since it uses more digits than its factorization.

2130444288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2130444288 is about 46156.7361064450. The cubic root of 2130444288 is about 1286.7378039126.

The spelling of 2130444288 in words is "two billion, one hundred thirty million, four hundred forty-four thousand, two hundred eighty-eight".