Search a number
-
+
6221096640 = 2632511359547
BaseRepresentation
bin1011100101100111…
…00110011011000000
3121001120002110020200
411302303212123000
5100220100043030
62505151405200
7310110306663
oct56263463300
917046073220
106221096640
112702712a90
121257523800
13781b2b695
144303236da
1526625cd60
hex172ce66c0

6221096640 has 336 divisors, whose sum is σ = 23451068160. Its totient is φ = 1501194240.

The previous prime is 6221096633. The next prime is 6221096677. The reversal of 6221096640 is 466901226.

6221096640 is a `hidden beast` number, since 6 + 2 + 2 + 1 + 0 + 9 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6221096595 and 6221096604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11372847 + ... + 11373393.

Almost surely, 26221096640 is an apocalyptic number.

6221096640 is a gapful number since it is divisible by the number (60) 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 6221096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11725534080).

6221096640 is an abundant number, since it is smaller than the sum of its proper divisors (17229971520).

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

6221096640 is a wasteful number, since it uses less digits than its factorization.

6221096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6221096640 is about 78873.9287724404. The cubic root of 6221096640 is about 1839.1718705656.

Adding to 6221096640 its reverse (466901226), we get a palindrome (6687997866).

The spelling of 6221096640 in words is "six billion, two hundred twenty-one million, ninety-six thousand, six hundred forty".