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2162299920 = 24351123149239
BaseRepresentation
bin1000000011100010…
…0001010000010000
312120200202012212020
42000320201100100
513412022044140
6554321331440
7104404150254
oct20070412020
95520665766
102162299920
11a0a61aa30
12504196b80
13285c91911
14167266264
15c9c716d0
hex80e21410

2162299920 has 320 divisors, whose sum is σ = 7713792000. Its totient is φ = 495953920.

The previous prime is 2162299913. The next prime is 2162299957. The reversal of 2162299920 is 299922612.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9047161 + ... + 9047399.

It is an arithmetic number, because the mean of its divisors is an integer number (24105600).

Almost surely, 22162299920 is an apocalyptic number.

2162299920 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 2162299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856896000).

2162299920 is an abundant number, since it is smaller than the sum of its proper divisors (5551492080).

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

2162299920 is a wasteful number, since it uses less digits than its factorization.

2162299920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 2162299920 is about 46500.5367710954. The cubic root of 2162299920 is about 1293.1194501121.

The spelling of 2162299920 in words is "two billion, one hundred sixty-two million, two hundred ninety-nine thousand, nine hundred twenty".