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3221282664 = 23322331131479
BaseRepresentation
bin1100000000000000…
…1101111101101000
322022111102010002100
43000000031331220
523044122021124
61251351133400
7142553310435
oct30000157550
98274363070
103221282664
11140336a386
1275a974260
133c44b0a22
14227b68b8c
1513cc041c9
hexc000df68

3221282664 has 192 divisors, whose sum is σ = 9488793600. Its totient is φ = 984297600.

The previous prime is 3221282639. The next prime is 3221282681. The reversal of 3221282664 is 4662821223.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 6724777 + ... + 6725255.

It is an arithmetic number, because the mean of its divisors is an integer number (49420800).

Almost surely, 23221282664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221282664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744396800).

3221282664 is an abundant number, since it is smaller than the sum of its proper divisors (6267510936).

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

3221282664 is a wasteful number, since it uses less digits than its factorization.

3221282664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 669 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3221282664 is about 56756.3447025969. The cubic root of 3221282664 is about 1476.8723003827.

The spelling of 3221282664 in words is "three billion, two hundred twenty-one million, two hundred eighty-two thousand, six hundred sixty-four".