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2155908312 = 2334172367127
BaseRepresentation
bin1000000010000000…
…1000110011011000
312120020201111020000
42000200020303120
513403403031222
6553532333000
7104265626655
oct20040106330
95506644200
102155908312
11a06a54908
12502014160
132848645bc
14166480c2c
15c940c9ac
hex80808cd8

2155908312 has 320 divisors, whose sum is σ = 6824632320. Its totient is φ = 632282112.

The previous prime is 2155908311. The next prime is 2155908319. The reversal of 2155908312 is 2138095512.

2155908312 is a `hidden beast` number, since 21 + 559 + 0 + 83 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155908311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16975593 + ... + 16975719.

It is an arithmetic number, because the mean of its divisors is an integer number (21326976).

Almost surely, 22155908312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2155908312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412316160).

2155908312 is an abundant number, since it is smaller than the sum of its proper divisors (4668724008).

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

2155908312 is a wasteful number, since it uses less digits than its factorization.

2155908312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 2155908312 is about 46431.7597340441. The cubic root of 2155908312 is about 1291.8440689551.

The spelling of 2155908312 in words is "two billion, one hundred fifty-five million, nine hundred eight thousand, three hundred twelve".