Search a number
-
+
2155468460 = 2252310942989
BaseRepresentation
bin1000000001111001…
…1101011010101100
312120012220010212012
42000132131122230
513403244442320
6553515100352
7104262115415
oct20036353254
95505803765
102155468460
11a067843a2
12501a416b8
1328473c332
141663a880c
15c93724c5
hex8079d6ac

2155468460 has 48 divisors (see below), whose sum is σ = 4766731200. Its totient is φ = 817115904.

The previous prime is 2155468451. The next prime is 2155468493. The reversal of 2155468460 is 648645512.

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, 28646 + ... + 71634.

It is an arithmetic number, because the mean of its divisors is an integer number (99306900).

Almost surely, 22155468460 is an apocalyptic number.

2155468460 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 2155468460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383365600).

2155468460 is an abundant number, since it is smaller than the sum of its proper divisors (2611262740).

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

2155468460 is a wasteful number, since it uses less digits than its factorization.

2155468460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43130 (or 43128 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The square root of 2155468460 is about 46427.0229500019. The cubic root of 2155468460 is about 1291.7562082544.

The spelling of 2155468460 in words is "two billion, one hundred fifty-five million, four hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 109 115 218 230 436 460 545 1090 2180 2507 5014 10028 12535 25070 42989 50140 85978 171956 214945 429890 859780 988747 1977494 3954988 4685801 4943735 9371602 9887470 18743204 19774940 23429005 46858010 93716020 107773423 215546846 431093692 538867115 1077734230 2155468460