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21221330424 = 233732577907
BaseRepresentation
bin10011110000111000…
…111100110111111000
32000202221200021121220
4103300320330313320
5321430130033144
613425434432040
71350612222000
oct236070746770
960687607556
1021221330424
118aaa984708
124142b92620
132002729c68
1410545a9000
158430bb919
hex4f0e3cdf8

21221330424 has 64 divisors (see below), whose sum is σ = 61869792000. Its totient is φ = 6063234912.

The previous prime is 21221330423. The next prime is 21221330467. The reversal of 21221330424 is 42403312212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21221330394 and 21221330403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221330423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1280722 + ... + 1297185.

It is an arithmetic number, because the mean of its divisors is an integer number (966715500).

Almost surely, 221221330424 is an apocalyptic number.

21221330424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21221330424 is an abundant number, since it is smaller than the sum of its proper divisors (40648461576).

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

21221330424 is a wasteful number, since it uses less digits than its factorization.

21221330424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577937 (or 2577919 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21221330424 its reverse (42403312212), we get a palindrome (63624642636).

The spelling of 21221330424 in words is "twenty-one billion, two hundred twenty-one million, three hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 2577907 5155814 7733721 10311628 15467442 18045349 20623256 30934884 36090698 54136047 61869768 72181396 108272094 126317443 144362792 216544188 252634886 378952329 433088376 505269772 757904658 884222101 1010539544 1515809316 1768444202 2652666303 3031618632 3536888404 5305332606 7073776808 10610665212 21221330424