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23420405200 = 2452101579713
BaseRepresentation
bin10101110011111101…
…110000010111010000
32020110012121212002211
4111303331300113100
5340431110431300
614431552321504
71456244105503
oct256375602720
966405555084
1023420405200
119a29232085
124657543294
1322931c643a
1411c268513a
159211a44ba
hex573f705d0

23420405200 has 60 divisors (see below), whose sum is σ = 56824725708. Its totient is φ = 9275392000.

The previous prime is 23420405179. The next prime is 23420405207. The reversal of 23420405200 is 250402432.

It can be written as a sum of positive squares in 6 ways, for example, as 1395470736 + 22024934464 = 37356^2 + 148408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23420405207) 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 11 ways as a sum of consecutive naturals, for example, 249457 + ... + 330256.

Almost surely, 223420405200 is an apocalyptic number.

23420405200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23420405200 is an abundant number, since it is smaller than the sum of its proper divisors (33404320508).

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

23420405200 is a wasteful number, since it uses less digits than its factorization.

23420405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579832 (or 579821 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 23420405200 its reverse (250402432), we get a palindrome (23670807632).

The spelling of 23420405200 in words is "twenty-three billion, four hundred twenty million, four hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 579713 1159426 2318852 2898565 4637704 5797130 9275408 11594260 14492825 23188520 28985650 46377040 57971300 58551013 115942600 117102026 231885200 234204052 292755065 468408104 585510130 936816208 1171020260 1463775325 2342040520 2927550650 4684081040 5855101300 11710202600 23420405200