Search a number
-
+
20357214400 = 2652171495023
BaseRepresentation
bin10010111101011000…
…100111000011000000
31221112201200122021201
4102331120213003000
5313142421330100
613204005430544
71320320316205
oct227530470300
957481618251
1020357214400
1186a7131536
123b4170b454
131bc56b87c3
14db190dcac
157e22cc36a
hex4bd6270c0

20357214400 has 168 divisors, whose sum is σ = 53404617600. Its totient is φ = 7610941440.

The previous prime is 20357214389. The next prime is 20357214421. The reversal of 20357214400 is 441275302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4050289 + ... + 4055311.

Almost surely, 220357214400 is an apocalyptic number.

20357214400 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 20357214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26702308800).

20357214400 is an abundant number, since it is smaller than the sum of its proper divisors (33047403200).

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

20357214400 is a wasteful number, since it uses less digits than its factorization.

20357214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 20357214400 its reverse (441275302), we get a palindrome (20798489702).

The spelling of 20357214400 in words is "twenty billion, three hundred fifty-seven million, two hundred fourteen thousand, four hundred".