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3005215020 = 223653161109
BaseRepresentation
bin1011001100011111…
…1111000100101100
321202102211202000000
42303013333010230
522123313340040
61214112104300
7134320622553
oct26307770454
97672752000
103005215020
111302402585
126ba535090
1338b7bc152
142071a2d9a
15128c74130
hexb31ff12c

3005215020 has 336 divisors, whose sum is σ = 10018525440. Its totient is φ = 755827200.

The previous prime is 3005215019. The next prime is 3005215033. The reversal of 3005215020 is 205125003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3005214984 and 3005215002.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27570726 + ... + 27570834.

It is an arithmetic number, because the mean of its divisors is an integer number (29817040).

Almost surely, 23005215020 is an apocalyptic number.

3005215020 is a gapful number since it is divisible by the number (30) 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 3005215020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009262720).

3005215020 is an abundant number, since it is smaller than the sum of its proper divisors (7013310420).

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

3005215020 is a wasteful number, since it uses less digits than its factorization.

3005215020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 3005215020 is about 54819.8414809820. The cubic root of 3005215020 is about 1443.0847932331.

The spelling of 3005215020 in words is "three billion, five million, two hundred fifteen thousand, twenty".