Search a number
-
+
21423202400 = 255237970657
BaseRepresentation
bin10011111100111011…
…000010000001100000
32001022000112102220202
4103330323002001200
5322333314434100
613501445324332
71355613134015
oct237473020140
961260472822
1021423202400
1190a3926056
12419a7066a8
1320354bb332
14107331770c
15855b957d5
hex4fcec2060

21423202400 has 72 divisors (see below), whose sum is σ = 52438128120. Its totient is φ = 8546549760.

The previous prime is 21423202343. The next prime is 21423202417. The reversal of 21423202400 is 420232412.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267872 + ... + 338528.

It is an arithmetic number, because the mean of its divisors is an integer number (728307335).

Almost surely, 221423202400 is an apocalyptic number.

21423202400 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 21423202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26219064060).

21423202400 is an abundant number, since it is smaller than the sum of its proper divisors (31014925720).

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

21423202400 is a wasteful number, since it uses less digits than its factorization.

21423202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71056 (or 71043 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 21423202400 its reverse (420232412), we get a palindrome (21843434812).

The spelling of 21423202400 in words is "twenty-one billion, four hundred twenty-three million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 379 400 758 800 1516 1895 3032 3790 6064 7580 9475 12128 15160 18950 30320 37900 60640 70657 75800 141314 151600 282628 303200 353285 565256 706570 1130512 1413140 1766425 2261024 2826280 3532850 5652560 7065700 11305120 14131400 26779003 28262800 53558006 56525600 107116012 133895015 214232024 267790030 428464048 535580060 669475075 856928096 1071160120 1338950150 2142320240 2677900300 4284640480 5355800600 10711601200 21423202400