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214144332220 = 225713235115727
BaseRepresentation
bin1100011101101111111…
…1110011000110111100
3202110202002100012122201
43013123333303012330
512002031422112340
6242213200121244
721320460535120
oct3073377630674
9673662305581
10214144332220
11828aa990365
1235604606224
13172697c4220
14a516809580
1558850b779a
hex31dbff31bc

214144332220 has 96 divisors (see below), whose sum is σ = 577545228288. Its totient is φ = 64826479872.

The previous prime is 214144332163. The next prime is 214144332223. The reversal of 214144332220 is 22233441412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214144332223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2516004 + ... + 2599723.

It is an arithmetic number, because the mean of its divisors is an integer number (6016096128).

Almost surely, 2214144332220 is an apocalyptic number.

214144332220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214144332220 is an abundant number, since it is smaller than the sum of its proper divisors (363400896068).

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

214144332220 is a wasteful number, since it uses less digits than its factorization.

214144332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115779 (or 5115777 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 214144332220 its reverse (22233441412), we get a palindrome (236377773632).

The spelling of 214144332220 in words is "two hundred fourteen billion, one hundred forty-four million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 91 92 115 130 140 161 182 230 260 299 322 364 455 460 598 644 805 910 1196 1495 1610 1820 2093 2990 3220 4186 5980 8372 10465 20930 41860 5115727 10231454 20462908 25578635 35810089 51157270 66504451 71620178 102314540 117661721 133008902 143240356 179050445 235323442 266017804 332522255 358100890 465531157 470646884 588308605 665044510 716201780 823632047 931062314 1176617210 1330089020 1529602373 1647264094 1862124628 2327655785 2353234420 3059204746 3294528188 4118160235 4655311570 6118409492 7648011865 8236320470 9310623140 10707216611 15296023730 16472640940 21414433222 30592047460 42828866444 53536083055 107072166110 214144332220