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10220222012220 = 223251126919188581
BaseRepresentation
bin1001010010111001010010…
…1100111101101100111100
31100012001011211210121002100
42110232110230331230330
52314422003313342340
633423034415025100
72103246425512203
oct224562454755474
940161154717070
1010220222012220
11329040a981310
1211908b780b190
135919bbb458ac
14274938ba823a
1512acb8889830
hex94b94b3db3c

10220222012220 has 144 divisors (see below), whose sum is σ = 33945369101280. Its totient is φ = 2468418931200.

The previous prime is 10220222012171. The next prime is 10220222012279. The reversal of 10220222012220 is 2221022202201.

10220222012220 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 220 + 1 + 2 + 220 = 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 = 10220222012193 and 10220222012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9061671 + ... + 10126910.

It is an arithmetic number, because the mean of its divisors is an integer number (235731729870).

Almost surely, 210220222012220 is an apocalyptic number.

10220222012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220222012220 is an abundant number, since it is smaller than the sum of its proper divisors (23725147089060).

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

10220222012220 is a wasteful number, since it uses less digits than its factorization.

10220222012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19188876 (or 19188871 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10220222012220 its reverse (2221022202201), we get a palindrome (12441244214421).

The spelling of 10220222012220 in words is "ten trillion, two hundred twenty billion, two hundred twenty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 269 330 396 495 538 660 807 990 1076 1345 1614 1980 2421 2690 2959 3228 4035 4842 5380 5918 8070 8877 9684 11836 12105 14795 16140 17754 24210 26631 29590 35508 44385 48420 53262 59180 88770 106524 133155 177540 266310 532620 19188581 38377162 57565743 76754324 95942905 115131486 172697229 191885810 211074391 230262972 287828715 345394458 383771620 422148782 575657430 633223173 690788916 844297564 863486145 1055371955 1151314860 1266446346 1726972290 1899669519 2110743910 2532892692 3166115865 3453944580 3799339038 4221487820 5161728289 6332231730 7598678076 9498347595 10323456578 12664463460 15485184867 18996695190 20646913156 25808641445 30970369734 37993390380 46455554601 51617282890 56779011179 61940739468 77425924335 92911109202 103234565780 113558022358 154851848670 170337033537 185822218404 227116044716 232277773005 283895055895 309703697340 340674067074 464555546010 511011100611 567790111790 681348134148 851685167685 929111092020 1022022201222 1135580223580 1703370335370 2044044402444 2555055503055 3406740670740 5110111006110 10220222012220