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3222097920 = 2123355827
BaseRepresentation
bin1100000000001101…
…0101000000000000
322022112221112102000
43000003111000000
523044324113140
61251420424000
7142563244326
oct30003250000
98275845360
103222097920
111403876948
1275b0a8000
133c4707b22
14227cdbd16
1513cd15a30
hexc00d5000

3222097920 has 208 divisors, whose sum is σ = 11456915520. Its totient is φ = 859078656.

The previous prime is 3222097909. The next prime is 3222097937. The reversal of 3222097920 is 297902223.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550047 + ... + 555873.

Almost surely, 23222097920 is an apocalyptic number.

3222097920 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 3222097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728457760).

3222097920 is an abundant number, since it is smaller than the sum of its proper divisors (8234817600).

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

3222097920 is an equidigital number, since it uses as much as digits as its factorization.

3222097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3222097920 is about 56763.5263175219. The cubic root of 3222097920 is about 1476.9968809272.

The spelling of 3222097920 in words is "three billion, two hundred twenty-two million, ninety-seven thousand, nine hundred twenty".