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2155308480 = 263351331619
BaseRepresentation
bin1000000001110111…
…0110010111000000
312120012121000102000
42000131312113000
513403224332410
6553511424000
7104260551123
oct20035662700
95505530360
102155308480
11a06685186
12501985000
132846b4580
141663663ba
15c933edc0
hex807765c0

2155308480 has 448 divisors, whose sum is σ = 8466124800. Its totient is φ = 512593920.

The previous prime is 2155308457. The next prime is 2155308487. The reversal of 2155308480 is 848035512.

It is a happy number.

2155308480 is a `hidden beast` number, since 21 + 553 + 0 + 8 + 4 + 80 = 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 (2155308487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3481611 + ... + 3482229.

It is an arithmetic number, because the mean of its divisors is an integer number (18897600).

Almost surely, 22155308480 is an apocalyptic number.

2155308480 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 2155308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233062400).

2155308480 is an abundant number, since it is smaller than the sum of its proper divisors (6310816320).

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

2155308480 is a wasteful number, since it uses less digits than its factorization.

2155308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2155308480 is about 46425.2999990307. The cubic root of 2155308480 is about 1291.7242491892.

The spelling of 2155308480 in words is "two billion, one hundred fifty-five million, three hundred eight thousand, four hundred eighty".