Search a number
-
+
6221257380 = 22335131515869
BaseRepresentation
bin1011100101101000…
…01101101010100100
3121001120101121202000
411302310031222210
5100220120214010
62505155045300
7310111546422
oct56264155244
917046347660
106221257380
112702812828
1212575a0830
13781b868b0
14430366112
152662907c0
hex172d0daa4

6221257380 has 192 divisors, whose sum is σ = 20985484800. Its totient is φ = 1520985600.

The previous prime is 6221257379. The next prime is 6221257387. The reversal of 6221257380 is 837521226.

6221257380 is a `hidden beast` number, since 6 + 2 + 2 + 1 + 2 + 573 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6221257387) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1057086 + ... + 1062954.

It is an arithmetic number, because the mean of its divisors is an integer number (109299400).

Almost surely, 26221257380 is an apocalyptic number.

6221257380 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 6221257380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10492742400).

6221257380 is an abundant number, since it is smaller than the sum of its proper divisors (14764227420).

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

6221257380 is a wasteful number, since it uses less digits than its factorization.

6221257380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6051 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6221257380 is about 78874.9477337386. The cubic root of 6221257380 is about 1839.1877105350.

The spelling of 6221257380 in words is "six billion, two hundred twenty-one million, two hundred fifty-seven thousand, three hundred eighty".