Search a number
-
+
22100220010022 = 27111741317649507
BaseRepresentation
bin1010000011001100110111…
…10000110101111000100110
32220020202112022221100212212
411001212123300311320212
510344042222310310042
6115000411221443422
74440455024403050
oct501463360657046
986222468840785
1022100220010022
117050718053790
12258b206b70572
13c44070ac998b
1456592907c8d0
15284d2655b482
hex14199bc35e26

22100220010022 has 128 divisors (see below), whose sum is σ = 44970312748032. Its totient is φ = 7881365606400.

The previous prime is 22100220010021. The next prime is 22100220010051. The reversal of 22100220010022 is 22001002200122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22100220009979 and 22100220010006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100220010021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33701393 + ... + 34350899.

It is an arithmetic number, because the mean of its divisors is an integer number (351330568344).

Almost surely, 222100220010022 is an apocalyptic number.

22100220010022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22100220010022 is an abundant number, since it is smaller than the sum of its proper divisors (22870092738010).

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

22100220010022 is a wasteful number, since it uses less digits than its factorization.

22100220010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649902.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22100220010022 its reverse (22001002200122), we get a palindrome (44101222210144).

It can be divided in two parts, 221002200100 and 22, that added together give a palindrome (221002200122).

The spelling of 22100220010022 in words is "twenty-two trillion, one hundred billion, two hundred twenty million, ten thousand, twenty-two".

Divisors: 1 2 7 11 14 17 22 34 41 77 82 119 154 187 238 287 317 374 451 574 634 697 902 1309 1394 2219 2618 3157 3487 4438 4879 5389 6314 6974 7667 9758 10778 12997 15334 24409 25994 37723 48818 53669 59279 75446 90979 107338 118558 142967 181958 220949 285934 414953 441898 649507 829906 1000769 1299014 1546643 2001538 2430439 3093286 4546549 4860878 7144577 9093098 11041619 14289154 17013073 22083238 26629787 34026146 50012039 53259574 77291333 100024078 121457809 154582666 186408509 205893719 242915618 292927657 372817018 411787438 452706379 585855314 850204663 905412758 1441256033 1700409326 2050493599 2264830909 2882512066 3168944653 3500193223 4100987198 4529661818 4979770169 6337889306 7000386446 8441642479 9959540338 15853816363 16883284958 24501352561 31707632726 34858391183 38502125453 49002705122 59091497353 69716782366 77004250906 92858067269 118182994706 143507922143 185716134538 269514878171 287015844286 539029756342 650006470883 1004555455001 1300012941766 1578587143573 2009110910002 3157174287146 11050110005011 22100220010022