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21244430400 = 263524425923
BaseRepresentation
bin10011110010010001…
…000100100001000000
32000211120010212211120
4103302101010201000
5322002033233100
613432021512240
71351312451604
oct236221044100
960746125746
1021244430400
119011a21aa6
12414a872680
13200745739b
14105769d504
158451310a0
hex4f2444840

21244430400 has 84 divisors (see below), whose sum is σ = 69699451152. Its totient is φ = 5665180160.

The previous prime is 21244430381. The next prime is 21244430407. The reversal of 21244430400 is 403444212.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (21244430407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2208162 + ... + 2217761.

Almost surely, 221244430400 is an apocalyptic number.

21244430400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21244430400 is an abundant number, since it is smaller than the sum of its proper divisors (48455020752).

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

21244430400 is a wasteful number, since it uses less digits than its factorization.

21244430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425948 (or 4425933 counting only the distinct ones).

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

Adding to 21244430400 its reverse (403444212), we get a palindrome (21647874612).

The spelling of 21244430400 in words is "twenty-one billion, two hundred forty-four million, four hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 4425923 8851846 13277769 17703692 22129615 26555538 35407384 44259230 53111076 66388845 70814768 88518460 106222152 110648075 132777690 141629536 177036920 212444304 221296150 265555380 283259072 331944225 354073840 424888608 442592300 531110760 663888450 708147680 849777216 885184600 1062221520 1327776900 1416295360 1770369200 2124443040 2655553800 3540738400 4248886080 5311107600 7081476800 10622215200 21244430400