Search a number
-
+
3224045000 = 2354112732
BaseRepresentation
bin1100000000101011…
…0000010111001000
322022200121110022002
43000022300113020
523100323420000
61251530250132
7142615634051
oct30012602710
98280543262
103224045000
111404986800
1275b886948
133c4c3a147
14228287728
1513d09c8d5
hexc02b05c8

3224045000 has 180 divisors, whose sum is σ = 8418387285. Its totient is φ = 1156320000.

The previous prime is 3224044979. The next prime is 3224045003. The reversal of 3224045000 is 5404223.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 148011556 + 3076033444 = 12166^2 + 55462^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=40150.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3224045003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44164964 + ... + 44165036.

Almost surely, 23224045000 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 3224045000

3224045000 is an abundant number, since it is smaller than the sum of its proper divisors (5194342285).

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

3224045000 is an equidigital number, since it uses as much as digits as its factorization.

3224045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3224045000 is about 56780.6745292798. The cubic root of 3224045000 is about 1477.2943322643.

Adding to 3224045000 its reverse (5404223), we get a palindrome (3229449223).

The spelling of 3224045000 in words is "three billion, two hundred twenty-four million, forty-five thousand".