Search a number
-
+
212223232010020 = 225711620172222089
BaseRepresentation
bin110000010000010000010010…
…010110110110011100100100
31000211102100020221010020100211
4300100100102112312130210
5210304031134343310040
62031210001252145204
762462423346160630
oct6020202226663444
91024370227106324
10212223232010020
1161691404904330
121b97634b008204
139155746140c0a
143a59932d27dc0
15198062ecc28ea
hexc104125b6724

212223232010020 has 96 divisors (see below), whose sum is σ = 555648216963840. Its totient is φ = 66146404515840.

The previous prime is 212223232009991. The next prime is 212223232010047. The reversal of 212223232010020 is 20010232322212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212223232009973 and 212223232010000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94395136 + ... + 96617224.

It is an arithmetic number, because the mean of its divisors is an integer number (5788002260040).

Almost surely, 2212223232010020 is an apocalyptic number.

212223232010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212223232010020 is an abundant number, since it is smaller than the sum of its proper divisors (343424984953820).

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

212223232010020 is a wasteful number, since it uses less digits than its factorization.

212223232010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284133 (or 2284131 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 212223232010020 its reverse (20010232322212), we get a palindrome (232233464332232).

The spelling of 212223232010020 in words is "two hundred twelve trillion, two hundred twenty-three billion, two hundred thirty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 62017 124034 248068 310085 434119 620170 682187 868238 1240340 1364374 1736476 2170595 2222089 2728748 3410935 4341190 4444178 4775309 6821870 8682380 8888356 9550618 11110445 13643740 15554623 19101236 22220890 23876545 24442979 31109246 44441780 47753090 48885958 62218492 77773115 95506180 97771916 122214895 155546230 171100853 244429790 311092460 342201706 488859580 684403412 855504265 1711008530 3422017060 137807293513 275614587026 551229174052 689036467565 964651054591 1378072935130 1515880228643 1929302109182 2756145870260 3031760457286 3858604218364 4823255272955 6063520914572 7579401143215 9646510545910 10611161600501 15158802286430 19293021091820 21222323201002 30317604572860 42444646402004 53055808002505 106111616005010 212223232010020