Search a number
-
+
2122240443210 = 23251712911074427
BaseRepresentation
bin11110111000011111011…
…000110100001101001010
321111212212120210202202200
4132320133120310031022
5234232322023140320
64302535505541030
7306220045061616
oct36703730641512
97455776722680
102122240443210
11749045449068
122a337a044776
13125184970584
1474a075a0346
153a30e9dd290
hex1ee1f63434a

2122240443210 has 96 divisors (see below), whose sum is σ = 5846934030912. Its totient is φ = 532227663360.

The previous prime is 2122240443163. The next prime is 2122240443221. The reversal of 2122240443210 is 123440422212.

It is a happy number.

2122240443210 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 2 + 4 + 0 + 443 + 210 = 666.

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, 1438017 + ... + 2512443.

It is an arithmetic number, because the mean of its divisors is an integer number (60905562822).

Almost surely, 22122240443210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122240443210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923467015456).

2122240443210 is an abundant number, since it is smaller than the sum of its proper divisors (3724693587702).

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

2122240443210 is a wasteful number, since it uses less digits than its factorization.

2122240443210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075748 (or 1075745 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2122240443210 its reverse (123440422212), we get a palindrome (2245680865422).

The spelling of 2122240443210 in words is "two trillion, one hundred twenty-two billion, two hundred forty million, four hundred forty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1291 1530 2582 3873 6455 7746 11619 12910 19365 21947 23238 38730 43894 58095 65841 109735 116190 131682 197523 219470 329205 395046 658410 987615 1074427 1975230 2148854 3223281 5372135 6446562 9669843 10744270 16116405 18265259 19339686 32232810 36530518 48349215 54795777 91326295 96698430 109591554 164387331 182652590 273978885 328774662 547957770 821936655 1387085257 1643873310 2774170514 4161255771 6935426285 8322511542 12483767313 13870852570 20806278855 23580449369 24967534626 41612557710 47160898738 62418836565 70741348107 117902246845 124837673130 141482696214 212224044321 235804493690 353706740535 424448088642 707413481070 1061120221605 2122240443210