Search a number
-
+
2155343904 = 2536767197
BaseRepresentation
bin1000000001110111…
…1111000000100000
312120012122211000000
42000131333000200
513403232001104
6553512300000
7104261056320
oct20035770040
95505584000
102155343904
11a066a985a
125019a1600
132846c772c
14166375280
15c934a639
hex8077f020

2155343904 has 336 divisors, whose sum is σ = 7416940608. Its totient is φ = 603542016.

The previous prime is 2155343881. The next prime is 2155343909. The reversal of 2155343904 is 4093435512.

2155343904 is a `hidden beast` number, since 215 + 5 + 3 + 439 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×21553439042 = 9291014689019922432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2155343909) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10940734 + ... + 10940930.

It is an arithmetic number, because the mean of its divisors is an integer number (22074228).

Almost surely, 22155343904 is an apocalyptic number.

2155343904 is a gapful number since it is divisible by the number (24) 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 2155343904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708470304).

2155343904 is an abundant number, since it is smaller than the sum of its proper divisors (5261596704).

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

2155343904 is an equidigital number, since it uses as much as digits as its factorization.

2155343904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2155343904 is about 46425.6815135761. The cubic root of 2155343904 is about 1291.7313259471.

The spelling of 2155343904 in words is "two billion, one hundred fifty-five million, three hundred forty-three thousand, nine hundred four".