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2028156000 = 253531313001
BaseRepresentation
bin111100011100011…
…0011010001100000
312020100022222222220
41320320303101200
513123201443000
6533130231040
7101155020153
oct17070632140
95210288886
102028156000
11950928692
12487285480
13264254c10
14153507c9a
15bd0c51a0
hex78e33460

2028156000 has 192 divisors, whose sum is σ = 7155884736. Its totient is φ = 499200000.

The previous prime is 2028155993. The next prime is 2028156001. The reversal of 2028156000 is 6518202.

It is a super-2 number, since 2×20281560002 = 8226833520672000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028156001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149500 + ... + 162500.

It is an arithmetic number, because the mean of its divisors is an integer number (37270233).

Almost surely, 22028156000 is an apocalyptic number.

2028156000 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 2028156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577942368).

2028156000 is an abundant number, since it is smaller than the sum of its proper divisors (5127728736).

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

2028156000 is a wasteful number, since it uses less digits than its factorization.

2028156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13042 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2028156000 is about 45035.0530142910. The cubic root of 2028156000 is about 1265.8059095151.

2028156000 divided by its sum of digits (24) gives a triangular number (84506500 = T13000).

The spelling of 2028156000 in words is "two billion, twenty-eight million, one hundred fifty-six thousand".