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6229613040 = 24357237103139
BaseRepresentation
bin1011100110101000…
…00101100111110000
3121002011010010112220
411303110011213300
5100224240104130
62510054121040
7310242560100
oct56324054760
917064103486
106229613040
1127074aa532
12125a350180
13783820b81
144314dd200
15266d91410
hex1735059f0

6229613040 has 480 divisors, whose sum is σ = 23463498240. Its totient is φ = 1362106368.

The previous prime is 6229613023. The next prime is 6229613063. The reversal of 6229613040 is 403169226.

It is a junction number, because it is equal to n+sod(n) for n = 6229612992 and 6229613010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44817291 + ... + 44817429.

It is an arithmetic number, because the mean of its divisors is an integer number (48882288).

Almost surely, 26229613040 is an apocalyptic number.

6229613040 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 6229613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11731749120).

6229613040 is an abundant number, since it is smaller than the sum of its proper divisors (17233885200).

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

6229613040 is a wasteful number, since it uses less digits than its factorization.

6229613040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 6229613040 is about 78927.8977295101. The cubic root of 6229613040 is about 1840.0107356021.

The spelling of 6229613040 in words is "six billion, two hundred twenty-nine million, six hundred thirteen thousand, forty".