Search a number
-
+
2155472000 = 27531137331
BaseRepresentation
bin1000000001111001…
…1110010010000000
312120012220022201022
42000132132102000
513403300101000
6553515125012
7104262131633
oct20036362200
95505808638
102155472000
11a06787020
12501a43768
13284740b26
141663a9c1a
15c9373585
hex8079e480

2155472000 has 256 divisors, whose sum is σ = 6022373760. Its totient is φ = 760320000.

The previous prime is 2155471991. The next prime is 2155472003. The reversal of 2155472000 is 2745512.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2155472003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6511835 + ... + 6512165.

Almost surely, 22155472000 is an apocalyptic number.

2155472000 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 2155472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011186880).

2155472000 is an abundant number, since it is smaller than the sum of its proper divisors (3866901760).

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

2155472000 is a wasteful number, since it uses less digits than its factorization.

2155472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 2155472000 is about 46427.0610743347. The cubic root of 2155472000 is about 1291.7569154192.

The spelling of 2155472000 in words is "two billion, one hundred fifty-five million, four hundred seventy-two thousand".