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6223150080 = 210335759109
BaseRepresentation
bin1011100101110110…
…11011110000000000
3121001200221210001000
411302323123300000
5100221111300310
62505303412000
7310133621460
oct56273336000
917050853030
106223150080
112703895844
121258154000
1378239a234
144306d9ba0
152665164c0
hex172edbc00

6223150080 has 704 divisors, whose sum is σ = 25939584000. Its totient is φ = 1385496576.

The previous prime is 6223150057. The next prime is 6223150081. The reversal of 6223150080 is 800513226.

6223150080 is a `hidden beast` number, since 62 + 23 + 1 + 500 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6223150081) 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, 57093066 + ... + 57093174.

It is an arithmetic number, because the mean of its divisors is an integer number (36846000).

Almost surely, 26223150080 is an apocalyptic number.

6223150080 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 6223150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12969792000).

6223150080 is an abundant number, since it is smaller than the sum of its proper divisors (19716433920).

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

6223150080 is a wasteful number, since it uses less digits than its factorization.

6223150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6223150080 is about 78886.9449275354. The cubic root of 6223150080 is about 1839.3742043263.

The spelling of 6223150080 in words is "six billion, two hundred twenty-three million, one hundred fifty thousand, eighty".