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2162884680 = 23365112613
BaseRepresentation
bin1000000011101011…
…0000000001001000
312120201211221000000
42000322300001020
513412144302210
6554342043000
7104412134145
oct20072600110
95521757000
102162884680
11a0a98a300
12504419460
13286137b28
141673793cc
15c9d39ac0
hex80eb0048

2162884680 has 336 divisors, whose sum is σ = 8033090940. Its totient is φ = 523480320.

The previous prime is 2162884679. The next prime is 2162884693. The reversal of 2162884680 is 864882612.

It can be written as a sum of positive squares in 2 ways, for example, as 1778646276 + 384238404 = 42174^2 + 19602^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3528054 + ... + 3528666.

Almost surely, 22162884680 is an apocalyptic number.

2162884680 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 2162884680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016545470).

2162884680 is an abundant number, since it is smaller than the sum of its proper divisors (5870206260).

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

2162884680 is a wasteful number, since it uses less digits than its factorization.

2162884680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2162884680 is about 46506.8240154066. The cubic root of 2162884680 is about 1293.2360075438.

The spelling of 2162884680 in words is "two billion, one hundred sixty-two million, eight hundred eighty-four thousand, six hundred eighty".