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3228439680 = 2735520759
BaseRepresentation
bin1100000001101110…
…0001010010000000
322022222212201200000
43000123201102000
523102440032210
61252204400000
7143001166404
oct30033412200
98288781600
103228439680
111407408574
12761246000
133c5b1854b
14228aad104
1513d669ac0
hexc06e1480

3228439680 has 192 divisors, whose sum is σ = 11561659200. Its totient is φ = 860875776.

The previous prime is 3228439679. The next prime is 3228439691. The reversal of 3228439680 is 869348223.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145141 + ... + 165899.

It is an arithmetic number, because the mean of its divisors is an integer number (60216975).

Almost surely, 23228439680 is an apocalyptic number.

3228439680 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 3228439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780829600).

3228439680 is an abundant number, since it is smaller than the sum of its proper divisors (8333219520).

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

3228439680 is an equidigital number, since it uses as much as digits as its factorization.

3228439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20793 (or 20769 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3228439680 is about 56819.3600808738. The cubic root of 3228439680 is about 1477.9652584086.

The spelling of 3228439680 in words is "three billion, two hundred twenty-eight million, four hundred thirty-nine thousand, six hundred eighty".