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21344322400 = 255226680403
BaseRepresentation
bin10011111000001110…
…001000001101100000
32001002112002220220021
4103320032020031200
5322203121304100
613445550523224
71353634514122
oct237016101540
961075086807
1021344322400
11906334a375
124178206514
13202206098b
141066a63212
1584dcb3a1a
hex4f8388360

21344322400 has 36 divisors (see below), whose sum is σ = 52106829012. Its totient is φ = 8537728640.

The previous prime is 21344322367. The next prime is 21344322407. The reversal of 21344322400 is 422344312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21344322407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13339402 + ... + 13341001.

It is an arithmetic number, because the mean of its divisors is an integer number (1447411917).

Almost surely, 221344322400 is an apocalyptic number.

21344322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21344322400 is an abundant number, since it is smaller than the sum of its proper divisors (30762506612).

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

21344322400 is a wasteful number, since it uses less digits than its factorization.

21344322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26680423 (or 26680410 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 21344322400 its reverse (422344312), we get a palindrome (21766666712).

The spelling of 21344322400 in words is "twenty-one billion, three hundred forty-four million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 26680403 53360806 106721612 133402015 213443224 266804030 426886448 533608060 667010075 853772896 1067216120 1334020150 2134432240 2668040300 4268864480 5336080600 10672161200 21344322400