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2143152000 = 27335311241
BaseRepresentation
bin111111110111101…
…1110011110000000
312112100201101212000
41333233132132000
513342121331000
6552355104000
7104052330363
oct17757363600
95470641760
102143152000
119aa831900
124b98a2000
132820192a2
141648c00da
15c823d000
hex7fbde780

2143152000 has 768 divisors, whose sum is σ = 8888443200. Its totient is φ = 506880000.

The previous prime is 2143151993. The next prime is 2143152007. The reversal of 2143152000 is 2513412.

2143152000 is a `hidden beast` number, since 2 + 143 + 1 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2143151993) and next prime (2143152007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143152007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52271980 + ... + 52272020.

Almost surely, 22143152000 is an apocalyptic number.

2143152000 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 2143152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444221600).

2143152000 is an abundant number, since it is smaller than the sum of its proper divisors (6745291200).

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

2143152000 is a wasteful number, since it uses less digits than its factorization.

2143152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2143152000 is about 46294.1897002205. The cubic root of 2143152000 is about 1289.2911194512.

Adding to 2143152000 its reverse (2513412), we get a palindrome (2145665412).

The spelling of 2143152000 in words is "two billion, one hundred forty-three million, one hundred fifty-two thousand".