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3000222720 = 210335111973
BaseRepresentation
bin1011001011010011…
…1100010000000000
321202002110002212000
42302310330100000
522121024111340
61213413104000
7134230321005
oct26264742000
97662402760
103000222720
1112aa602810
126b8928000
1338a761a21
142066638ac
151285d9d30
hexb2d3c400

3000222720 has 352 divisors, whose sum is σ = 11637440640. Its totient is φ = 726958080.

The previous prime is 3000222593. The next prime is 3000222751. The reversal of 3000222720 is 272220003.

It is a tau number, because it is divible by the number of its divisors (352).

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 = 3000222693 and 3000222702.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1519654 + ... + 1521626.

Almost surely, 23000222720 is an apocalyptic number.

3000222720 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 3000222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818720320).

3000222720 is an abundant number, since it is smaller than the sum of its proper divisors (8637217920).

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

3000222720 is a wasteful number, since it uses less digits than its factorization.

3000222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3000222720 is about 54774.2888589163. The cubic root of 3000222720 is about 1442.2852602936.

Adding to 3000222720 its reverse (272220003), we get a palindrome (3272442723).

The spelling of 3000222720 in words is "three billion, two hundred twenty-two thousand, seven hundred twenty".