Search a number
-
+
20216464500 = 22353412711213
BaseRepresentation
bin10010110100111111…
…101100010001110100
31221011220211210201110
4102310333230101310
5312400403331000
613142020555020
71313661053511
oct226477542164
957156753643
1020216464500
118634738001
123b02552a70
131ba24a803b
14d9ad52308
157d4c78850
hex4b4fec474

20216464500 has 192 divisors, whose sum is σ = 60578638848. Its totient is φ = 5235840000.

The previous prime is 20216464487. The next prime is 20216464507. The reversal of 20216464500 is 546461202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20216464507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16665894 + ... + 16667106.

It is an arithmetic number, because the mean of its divisors is an integer number (315513744).

Almost surely, 220216464500 is an apocalyptic number.

20216464500 is a gapful number since it is divisible by the number (20) 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 20216464500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30289319424).

20216464500 is an abundant number, since it is smaller than the sum of its proper divisors (40362174348).

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

20216464500 is a wasteful number, since it uses less digits than its factorization.

20216464500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 20216464500 in words is "twenty billion, two hundred sixteen million, four hundred sixty-four thousand, five hundred".