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20297700900 = 22345215832
BaseRepresentation
bin10010111001110101…
…100101011000100100
31221101120201001010000
4102321311211120210
5313032202412100
613154042101300
71315665416361
oct227165453044
957346631100
1020297700900
118676583124
123b257aa830
131bb627c109
14da7a5b468
157dbe73900
hex4b9d65624

20297700900 has 135 divisors (see below), whose sum is σ = 65838718561. Its totient is φ = 5409300960.

The previous prime is 20297700889. The next prime is 20297700949. The reversal of 20297700900 is 900779202.

The square root of 20297700900 is 142470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7307172324 + 12990528576 = 85482^2 + 113976^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 12821509 + ... + 12823091.

Almost surely, 220297700900 is an apocalyptic number.

20297700900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20297700900 is the 142470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20297700900

20297700900 is an abundant number, since it is smaller than the sum of its proper divisors (45541017661).

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

20297700900 is an equidigital number, since it uses as much as digits as its factorization.

20297700900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Multiplying 20297700900 by its sum of digits (36), we get a square (730717232400 = 8548202).

20297700900 divided by its sum of digits (36) gives a square (563825025 = 237452).

Multiplying 20297700900 by its product of nonzero digits (15876), we get a square (322246299488400 = 179512202).

The spelling of 20297700900 in words is "twenty billion, two hundred ninety-seven million, seven hundred thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1583 1620 2025 2700 3166 4050 4749 6332 7915 8100 9498 14247 15830 18996 23745 28494 31660 39575 42741 47490 56988 71235 79150 85482 94980 118725 128223 142470 158300 170964 213705 237450 256446 284940 356175 427410 474900 512892 641115 712350 854820 1068525 1282230 1424700 2137050 2505889 2564460 3205575 4274100 5011778 6411150 7517667 10023556 12529445 12822300 15035334 22553001 25058890 30070668 37588335 45106002 50117780 62647225 67659003 75176670 90212004 112765005 125294450 135318006 150353340 187941675 202977009 225530010 250588900 270636012 338295015 375883350 405954018 451060020 563825025 676590030 751766700 811908036 1014885045 1127650050 1353180060 1691475075 2029770090 2255300100 3382950150 4059540180 5074425225 6765900300 10148850450 20297700900