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6227195040 = 25325111313001
BaseRepresentation
bin1011100110010101…
…10111010010100000
3121001222120021200100
411303022313102200
5100223130220130
62505530222400
7310213166403
oct56312672240
917058507610
106227195040
1127060a8890
121259584a00
137831853c1
1443106dd3a
15266a64c60
hex1732b74a0

6227195040 has 288 divisors, whose sum is σ = 23366895552. Its totient is φ = 1497600000.

The previous prime is 6227194997. The next prime is 6227195059. The reversal of 6227195040 is 405917226.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 6227194986 and 6227195004.

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, 2073540 + ... + 2076540.

It is an arithmetic number, because the mean of its divisors is an integer number (81135054).

Almost surely, 26227195040 is an apocalyptic number.

6227195040 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 6227195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11683447776).

6227195040 is an abundant number, since it is smaller than the sum of its proper divisors (17139700512).

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

6227195040 is a wasteful number, since it uses less digits than its factorization.

6227195040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6227195040 is about 78912.5784650331. The cubic root of 6227195040 is about 1839.7726404645.

The spelling of 6227195040 in words is "six billion, two hundred twenty-seven million, one hundred ninety-five thousand, forty".