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21244304400 = 24352111609417
BaseRepresentation
bin10011110010010000…
…100101110000010000
32000211112220110222220
4103302100211300100
5322002020220100
613432015101040
71351311415344
oct236220456020
960745813886
1021244304400
119011946370
12414a811780
132007411c27
141057669624
15845108aa0
hex4f2425c10

21244304400 has 120 divisors (see below), whose sum is σ = 74239233504. Its totient is φ = 5150131200.

The previous prime is 21244304387. The next prime is 21244304429. The reversal of 21244304400 is 440344212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 791509 + ... + 817908.

Almost surely, 221244304400 is an apocalyptic number.

21244304400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21244304400 is an abundant number, since it is smaller than the sum of its proper divisors (52994929104).

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

21244304400 is a wasteful number, since it uses less digits than its factorization.

21244304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609449 (or 1609438 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21244304400 its reverse (440344212), we get a palindrome (21684648612).

The spelling of 21244304400 in words is "twenty-one billion, two hundred forty-four million, three hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 1609417 3218834 4828251 6437668 8047085 9656502 12875336 16094170 17703587 19313004 24141255 25750672 32188340 35407174 38626008 40235425 48282510 53110761 64376680 70814348 77252016 80470850 88517935 96565020 106221522 120706275 128753360 141628696 160941700 177035870 193130040 212443044 241412550 265553805 283257392 321883400 354071740 386260080 424886088 442589675 482825100 531107610 643766800 708143480 849772176 885179350 965650200 1062215220 1327769025 1416286960 1770358700 1931300400 2124430440 2655538050 3540717400 4248860880 5311076100 7081434800 10622152200 21244304400