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20430032220 = 2234513970087
BaseRepresentation
bin10011000001101110…
…011000110101011100
31221201210201011120000
4103001232120311130
5313320042012340
613215130254300
71322163260103
oct230156306534
957653634500
1020430032220
118734247654
123b61b87390
131c07802a80
14dbb46703a
157e88b2d30
hex4c1b98d5c

20430032220 has 120 divisors (see below), whose sum is σ = 69019821024. Its totient is φ = 5028925824.

The previous prime is 20430032197. The next prime is 20430032263. The reversal of 20430032220 is 2223003402.

20430032220 is a `hidden beast` number, since 20 + 4 + 300 + 322 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20430032193 and 20430032202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 463984 + ... + 506103.

Almost surely, 220430032220 is an apocalyptic number.

20430032220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20430032220 is an abundant number, since it is smaller than the sum of its proper divisors (48589788804).

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

20430032220 is a wasteful number, since it uses less digits than its factorization.

20430032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970121 (or 970110 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20430032220 its reverse (2223003402), we get a palindrome (22653035622).

The spelling of 20430032220 in words is "twenty billion, four hundred thirty million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 970087 1940174 2910261 3880348 4850435 5820522 8730783 9700870 11641044 12611131 14551305 17461566 19401740 25222262 26192349 29102610 34923132 37833393 43653915 50444524 52384698 58205220 63055655 75666786 78577047 87307830 104769396 113500179 126111310 130961745 151333572 157154094 174615660 189166965 227000358 252222620 261923490 314308188 340500537 378333930 392885235 454000716 523846980 567500895 681001074 756667860 785770470 1021501611 1135001790 1362002148 1571540940 1702502685 2043003222 2270003580 3405005370 4086006444 5107508055 6810010740 10215016110 20430032220