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224158690116 = 22342929072
BaseRepresentation
bin1101000011000011100…
…1100010101101000100
3210102121000010022010000
43100300321202231010
512133034111040431
6250551014401300
722123601266614
oct3206071425504
9712530108100
10224158690116
11870798116a9
123753a360230
13181a446a99a
14abc6828a44
155c6e35e9e6
hex3430e62b44

224158690116 has 135 divisors (see below), whose sum is σ = 607568470509. Its totient is φ = 72063486432.

The previous prime is 224158690081. The next prime is 224158690121. The reversal of 224158690116 is 611096851422.

The square root of 224158690116 is 473454.

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

224158690116 is a `hidden beast` number, since 22 + 41 + 586 + 9 + 0 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117543379716 + 106615310400 = 342846^2 + 326520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 247142535 + ... + 247143441.

Almost surely, 2224158690116 is an apocalyptic number.

224158690116 is the 473454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224158690116

224158690116 is an abundant number, since it is smaller than the sum of its proper divisors (383409780393).

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

224158690116 is an frugal number, since it uses more digits than its factorization.

224158690116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 224158690116 in words is "two hundred twenty-four billion, one hundred fifty-eight million, six hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 841 907 1044 1566 1682 1814 2349 2523 2721 3132 3364 3628 4698 5046 5442 7569 8163 9396 10092 10884 15138 16326 22707 24489 26303 30276 32652 45414 48978 52606 68121 73467 78909 90828 97956 105212 136242 146934 157818 236727 272484 293868 315636 473454 710181 762787 822649 946908 1420362 1525574 1645298 2130543 2288361 2467947 2840724 3051148 3290596 4261086 4576722 4935894 6865083 7403841 8522172 9153444 9871788 13730166 14807682 20595249 22211523 23856821 27460332 29615364 41190498 44423046 47713642 61785747 66634569 71570463 82380996 88846092 95427284 123571494 133269138 143140926 214711389 247142988 266538276 286281852 429422778 644134167 691847809 858845556 1288268334 1383695618 1932402501 2075543427 2576536668 2767391236 3864805002 4151086854 6226630281 7729610004 8302173708 12453260562 18679890843 24906521124 37359781686 56039672529 74719563372 112079345058 224158690116