Search a number
-
+
2149657344 = 28321771773
BaseRepresentation
bin1000000000100001…
…0010101100000000
312112210221220111200
42000020102230000
513400303013334
6553150341200
7104161533402
oct20010225400
95483856450
102149657344
11a0347541a
124bbaba800
132834862c3
141656d4b72
15c8ac5799
hex80212b00

2149657344 has 216 divisors, whose sum is σ = 6663619872. Its totient is φ = 664043520.

The previous prime is 2149657331. The next prime is 2149657373. The reversal of 2149657344 is 4437569412.

2149657344 is a `hidden beast` number, since 214 + 96 + 5 + 7 + 344 = 666.

It is a super-2 number, since 2×21496573442 = 9242053393226268672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2149657344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2780542 + ... + 2781314.

It is an arithmetic number, because the mean of its divisors is an integer number (30850092).

Almost surely, 22149657344 is an apocalyptic number.

2149657344 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 2149657344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331809936).

2149657344 is an abundant number, since it is smaller than the sum of its proper divisors (4513962528).

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

2149657344 is a wasteful number, since it uses less digits than its factorization.

2149657344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 866 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2149657344 is about 46364.3973755726. The cubic root of 2149657344 is about 1290.5943106156.

The spelling of 2149657344 in words is "two billion, one hundred forty-nine million, six hundred fifty-seven thousand, three hundred forty-four".