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3322220832 = 253471923419
BaseRepresentation
bin1100011000000101…
…0001000100100000
322120112100022020000
43012001101010200
523300442031312
61305354420000
7145220261010
oct30601210440
98515308200
103322220832
111455341757
12788731600
1340c392558
14237321c40
151469e1adc
hexc6051120

3322220832 has 480 divisors, whose sum is σ = 12294374400. Its totient is φ = 858097152.

The previous prime is 3322220821. The next prime is 3322220843. The reversal of 3322220832 is 2380222233.

It is an interprime number because it is at equal distance from previous prime (3322220821) and next prime (3322220843).

It is a super-2 number, since 2×33222208322 = 22074302513149544448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3322220796 and 3322220805.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7928719 + ... + 7929137.

It is an arithmetic number, because the mean of its divisors is an integer number (25613280).

Almost surely, 23322220832 is an apocalyptic number.

3322220832 is a gapful number since it is divisible by the number (32) 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 3322220832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147187200).

3322220832 is an abundant number, since it is smaller than the sum of its proper divisors (8972153568).

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

3322220832 is a wasteful number, since it uses less digits than its factorization.

3322220832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3322220832 is about 57638.7094928400. The cubic root of 3322220832 is about 1492.1397468933.

The spelling of 3322220832 in words is "three billion, three hundred twenty-two million, two hundred twenty thousand, eight hundred thirty-two".