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2230012022100 = 2235243473678067
BaseRepresentation
bin100000011100110111000…
…100110000110101010100
321220012001101001020001120
4200130313010300311110
5243014031034201400
64424241532523540
7320053530301542
oct40346704606524
97805041036046
102230012022100
1178a819717435
123002366205b0
1313239b5976b5
1479d0c828d92
153d01b152ca0
hex20737130d54

2230012022100 has 144 divisors (see below), whose sum is σ = 6742693106688. Its totient is φ = 568481880960.

The previous prime is 2230012022099. The next prime is 2230012022101. The reversal of 2230012022100 is 12202100322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2230012022099) and next prime (2230012022101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2230012022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230012022101) 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, 1232734 + ... + 2445333.

Almost surely, 22230012022100 is an apocalyptic number.

2230012022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230012022100 is an abundant number, since it is smaller than the sum of its proper divisors (4512681084588).

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

2230012022100 is a wasteful number, since it uses less digits than its factorization.

2230012022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678174 (or 3678167 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2230012022100 its reverse (12202100322), we get a palindrome (2242214122422).

The spelling of 2230012022100 in words is "two trillion, two hundred thirty billion, twelve million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 47 50 60 75 86 94 100 129 141 150 172 188 215 235 258 282 300 430 470 516 564 645 705 860 940 1075 1175 1290 1410 2021 2150 2350 2580 2820 3225 3525 4042 4300 4700 6063 6450 7050 8084 10105 12126 12900 14100 20210 24252 30315 40420 50525 60630 101050 121260 151575 202100 303150 606300 3678067 7356134 11034201 14712268 18390335 22068402 36780670 44136804 55171005 73561340 91951675 110342010 158156881 172869149 183903350 220684020 275855025 316313762 345738298 367806700 474470643 518607447 551710050 632627524 691476596 790784405 864345745 948941286 1037214894 1103420100 1581568810 1728691490 1897882572 2074429788 2372353215 2593037235 3163137620 3457382980 3953922025 4321728725 4744706430 5186074470 7433373407 7907844050 8643457450 9489412860 10372148940 11861766075 12965186175 14866746814 15815688100 17286914900 22300120221 23723532150 25930372350 29733493628 37166867035 44600240442 47447064300 51860744700 74333734070 89200480884 111500601105 148667468140 185834335175 223001202210 371668670350 446002404420 557503005525 743337340700 1115006011050 2230012022100