Search a number
-
+
2755514216 = 23721319149191
BaseRepresentation
bin1010010000111101…
…1100111101101000
321010000222121220002
42210033130331220
521120402423331
61133232122132
7125166325100
oct24417347550
97100877802
102755514216
111194463684
1264a996348
1334bb529b0
141c1d64200
15111d9d9cb
hexa43dcf68

2755514216 has 192 divisors, whose sum is σ = 6894720000. Its totient is φ = 1020418560.

The previous prime is 2755514213. The next prime is 2755514221. The reversal of 2755514216 is 6124155572.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 2755514216.

It is not an unprimeable number, because it can be changed into a prime (2755514213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14426681 + ... + 14426871.

It is an arithmetic number, because the mean of its divisors is an integer number (35910000).

Almost surely, 22755514216 is an apocalyptic number.

2755514216 is a gapful number since it is divisible by the number (26) 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 2755514216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360000).

2755514216 is an abundant number, since it is smaller than the sum of its proper divisors (4139205784).

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

2755514216 is a wasteful number, since it uses less digits than its factorization.

2755514216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its digits is 84000, while the sum is 38.

The square root of 2755514216 is about 52492.9920656081. The cubic root of 2755514216 is about 1401.9554674049.

Adding to 2755514216 its reverse (6124155572), we get a palindrome (8879669788).

The spelling of 2755514216 in words is "two billion, seven hundred fifty-five million, five hundred fourteen thousand, two hundred sixteen".