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3223297920 = 273517237157
BaseRepresentation
bin1100000000011111…
…1001111110000000
322022122012111111110
43000013321332000
523100131013140
61251502243320
7142606403013
oct30007717600
98278174443
103223297920
111404516487
1275b586540
133c4a3809b
1422813137a
1513cea1380
hexc01f9f80

3223297920 has 384 divisors, whose sum is σ = 11280555360. Its totient is φ = 782106624.

The previous prime is 3223297919. The next prime is 3223297927. The reversal of 3223297920 is 297923223.

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223297927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20530482 + ... + 20530638.

Almost surely, 23223297920 is an apocalyptic number.

3223297920 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 3223297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640277680).

3223297920 is an abundant number, since it is smaller than the sum of its proper divisors (8057257440).

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

3223297920 is a wasteful number, since it uses less digits than its factorization.

3223297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 3223297920 is about 56774.0955013816. The cubic root of 3223297920 is about 1477.1802165796.

The spelling of 3223297920 in words is "three billion, two hundred twenty-three million, two hundred ninety-seven thousand, nine hundred twenty".