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20424303224 = 23131017432617
BaseRepresentation
bin10011000001011000…
…100010001001111000
31221201101221002211222
4103001120202021320
5313312110200344
613214403411212
71322063466353
oct230130421170
957641832758
1020424303224
118730a94346
123b60083b08
131c06578230
14dba7b529a
157e81305ee
hex4c1622278

20424303224 has 64 divisors (see below), whose sum is σ = 41721704640. Its totient is φ = 9317145600.

The previous prime is 20424303199. The next prime is 20424303233. The reversal of 20424303224 is 42230342402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 20424303193 and 20424303202.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7803164 + ... + 7805780.

It is an arithmetic number, because the mean of its divisors is an integer number (651901635).

Almost surely, 220424303224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20424303224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20860852320).

20424303224 is an abundant number, since it is smaller than the sum of its proper divisors (21297401416).

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

20424303224 is a wasteful number, since it uses less digits than its factorization.

20424303224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 20424303224 its reverse (42230342402), we get a palindrome (62654645626).

The spelling of 20424303224 in words is "twenty billion, four hundred twenty-four million, three hundred three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 743 808 1313 1486 2617 2626 2972 5234 5252 5944 9659 10468 10504 19318 20936 34021 38636 68042 75043 77272 136084 150086 264317 272168 300172 528634 600344 975559 1057268 1944431 1951118 2114536 3436121 3888862 3902236 6872242 7777724 7804472 13744484 15555448 25277603 27488968 50555206 101110412 196387531 202220824 392775062 785550124 1571100248 2553037903 5106075806 10212151612 20424303224