Search a number
-
+
22222212022100 = 22523167971103009
BaseRepresentation
bin1010000110110000000110…
…00011011011111101010100
32220200102102011102200020102
411003120003003123331110
510403042042234201400
6115132424313553232
74452334062400616
oct503300303337524
986612364380212
1022222212022100
117098429399a82
1225aa991a15818
13c527128c25cc
1456b7bcba0db6
152880b63479d5
hex1436030dbf54

22222212022100 has 144 divisors (see below), whose sum is σ = 51041584796160. Its totient is φ = 8386390425600.

The previous prime is 22222212022091. The next prime is 22222212022121. The reversal of 22222212022100 is 122021222222.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 19595396 + ... + 20698404.

Almost surely, 222222212022100 is an apocalyptic number.

22222212022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22222212022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25520792398080).

22222212022100 is an abundant number, since it is smaller than the sum of its proper divisors (28819372774060).

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

22222212022100 is a wasteful number, since it uses less digits than its factorization.

22222212022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103218 (or 1103211 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22222212022100 its reverse (122021222222), we get a palindrome (22344233244322).

The spelling of 22222212022100 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred twelve million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 67 97 100 124 134 155 194 268 310 335 388 485 620 670 775 970 1340 1550 1675 1940 2077 2425 3007 3100 3350 4154 4850 6014 6499 6700 8308 9700 10385 12028 12998 15035 20770 25996 30070 32495 41540 51925 60140 64990 75175 103850 129980 150350 162475 201469 207700 300700 324950 402938 649900 805876 1007345 1103009 2014690 2206018 4029380 4412036 5036725 5515045 10073450 11030090 20146900 22060180 27575225 34193279 55150450 68386558 73901603 106991873 110300900 136773116 147803206 170966395 213983746 295606412 341932790 369508015 427967492 534959365 683865580 739016030 854831975 1069918730 1478032060 1709663950 1847540075 2139837460 2290949693 2674796825 3316748063 3419327900 3695080150 4581899386 5349593650 6633496126 7168455491 7390160300 9163798772 10699187300 11454748465 13266992252 14336910982 16583740315 22909496930 28673821964 33167480630 35842277455 45818993860 57273742325 66334961260 71684554910 82918701575 114547484650 143369109820 165837403150 179211387275 222222120221 229094969300 331674806300 358422774550 444444240442 716845549100 888888480884 1111110601105 2222221202210 4444442404420 5555553005525 11111106011050 22222212022100