Search a number
-
+
222320014020 = 2232513293276157
BaseRepresentation
bin1100111100001101001…
…1100011001011000100
3210020211212022212200100
43033003103203023010
512120302410422040
6250044333244100
722030203640116
oct3170323431304
9706755285610
10222320014020
1186315941085
1237106633630
1317c70558870
14aa905653b6
155bb2c16b30
hex33c34e32c4

222320014020 has 144 divisors (see below), whose sum is σ = 751288552560. Its totient is φ = 52837843968.

The previous prime is 222320014009. The next prime is 222320014027. The reversal of 222320014020 is 20410023222.

It can be written as a sum of positive squares in 8 ways, for example, as 3279165696 + 219040848324 = 57264^2 + 468018^2 .

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 = 222320013984 and 222320014002.

It is not an unprimeable number, because it can be changed into a prime (222320014027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1570219 + ... + 1705938.

It is an arithmetic number, because the mean of its divisors is an integer number (5217281615).

Almost surely, 2222320014020 is an apocalyptic number.

222320014020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222320014020 is an abundant number, since it is smaller than the sum of its proper divisors (528968538540).

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

222320014020 is a wasteful number, since it uses less digits than its factorization.

222320014020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276214 (or 3276209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 222320014020 its reverse (20410023222), we get a palindrome (242730037242).

The spelling of 222320014020 in words is "two hundred twenty-two billion, three hundred twenty million, fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6786 7540 11310 13572 16965 22620 33930 67860 3276157 6552314 9828471 13104628 16380785 19656942 29485413 32761570 39313884 42590041 49142355 58970826 65523140 85180082 95008553 98284710 117941652 127770123 147427065 170360164 190017106 196569420 212950205 255540246 285025659 294854130 380034212 383310369 425900410 475042765 511080492 570051318 589708260 638850615 766620738 851800820 855076977 950085530 1140102636 1235111189 1277701230 1425128295 1533241476 1710153954 1900171060 1916551845 2470222378 2555402460 2850256590 3420307908 3705333567 3833103690 4275384885 4940444756 5700513180 6175555945 7410667134 7666207380 8550769770 11116000701 12351111890 14821334268 17101539540 18526667835 22232001402 24702223780 37053335670 44464002804 55580003505 74106671340 111160007010 222320014020