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2168974080 = 283257132069
BaseRepresentation
bin1000000101000111…
…1110101100000000
312121011022022002100
42001101332230000
513420224132310
6555120350400
7104514655410
oct20121765400
95534268070
102168974080
11a13369369
12506475400
1328748a720
141680c2640
15ca63dec0
hex8147eb00

2168974080 has 432 divisors, whose sum is σ = 9240678720. Its totient is φ = 457408512.

The previous prime is 2168974079. The next prime is 2168974097. The reversal of 2168974080 is 804798612.

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 47 ways as a sum of consecutive naturals, for example, 1047286 + ... + 1049354.

It is an arithmetic number, because the mean of its divisors is an integer number (21390460).

Almost surely, 22168974080 is an apocalyptic number.

2168974080 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 2168974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620339360).

2168974080 is an abundant number, since it is smaller than the sum of its proper divisors (7071704640).

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

2168974080 is a wasteful number, since it uses less digits than its factorization.

2168974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2168974080 is about 46572.2458122861. The cubic root of 2168974080 is about 1294.4485321077.

The spelling of 2168974080 in words is "two billion, one hundred sixty-eight million, nine hundred seventy-four thousand, eighty".