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3220650720 = 253457131271
BaseRepresentation
bin1011111111110111…
…0011101011100000
322022110020000020000
42333331303223200
523043441310340
61251325420000
7142545036150
oct27775635340
98273200200
103220650720
111402a78611
1275a70a600
133c431c1b1
14227a42760
1513cb2bd30
hexbff73ae0

3220650720 has 480 divisors, whose sum is σ = 13137417216. Its totient is φ = 727833600.

The previous prime is 3220650707. The next prime is 3220650721. The reversal of 3220650720 is 270560223.

3220650720 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 650 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220650721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11884185 + ... + 11884455.

Almost surely, 23220650720 is an apocalyptic number.

3220650720 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 3220650720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568708608).

3220650720 is an abundant number, since it is smaller than the sum of its proper divisors (9916766496).

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

3220650720 is a wasteful number, since it uses less digits than its factorization.

3220650720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3220650720 is about 56750.7772633997. Note that the first 3 decimals coincide. The cubic root of 3220650720 is about 1476.7757175694.

The spelling of 3220650720 in words is "three billion, two hundred twenty million, six hundred fifty thousand, seven hundred twenty".