Search a number
-
+
2150144000 = 2115337227
BaseRepresentation
bin1000000000101000…
…1001100000000000
312112211212122001222
42000022021200000
513400414102000
6553205014212
7104165631254
oct20012114000
95484778058
102150144000
11a03778014
125000b4368
132835c6974
141657c0264
15c8b6ea85
hex80289800

2150144000 has 192 divisors, whose sum is σ = 5534736480. Its totient is φ = 833126400.

The previous prime is 2150143997. The next prime is 2150144039. The reversal of 2150144000 is 4410512.

It is a self number, because there is not a number n which added to its sum of digits gives 2150144000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9471887 + ... + 9472113.

Almost surely, 22150144000 is an apocalyptic number.

2150144000 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 2150144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767368240).

2150144000 is an abundant number, since it is smaller than the sum of its proper divisors (3384592480).

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

2150144000 is an equidigital number, since it uses as much as digits as its factorization.

2150144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2150144000 is about 46369.6452434133. The cubic root of 2150144000 is about 1290.6916948299.

Adding to 2150144000 its reverse (4410512), we get a palindrome (2154554512).

The spelling of 2150144000 in words is "two billion, one hundred fifty million, one hundred forty-four thousand".