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2234214502300 = 22521188111512003
BaseRepresentation
bin100000100000110001100…
…011111100111110011100
321220120220020202100010101
4200200301203330332130
5243101132403033200
64430214534350444
7320262626632444
oct40406143747634
97816806670111
102234214502300
11791585927a70
12301009abb424
131328bb131281
147a1caa09124
153d1b507226a
hex208318fcf9c

2234214502300 has 144 divisors (see below), whose sum is σ = 5302244634624. Its totient is φ = 810409600000.

The previous prime is 2234214502213. The next prime is 2234214502349. The reversal of 2234214502300 is 32054124322.

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, 1115433099 + ... + 1115435101.

It is an arithmetic number, because the mean of its divisors is an integer number (36821143296).

Almost surely, 22234214502300 is an apocalyptic number.

2234214502300 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 2234214502300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651122317312).

2234214502300 is an abundant number, since it is smaller than the sum of its proper divisors (3068030132324).

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

2234214502300 is a wasteful number, since it uses less digits than its factorization.

2234214502300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 2234214502300 its reverse (32054124322), we get a palindrome (2266268626622).

The spelling of 2234214502300 in words is "two trillion, two hundred thirty-four billion, two hundred fourteen million, five hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 881 1100 1151 1762 2003 2302 3524 4006 4405 4604 5755 8012 8810 9691 10015 11510 12661 17620 19382 20030 22025 22033 23020 25322 28775 38764 40060 44050 44066 48455 50075 50644 57550 63305 88100 88132 96910 100150 110165 115100 126610 193820 200300 220330 242275 253220 316525 440660 484550 550825 633050 969100 1014031 1101650 1266100 1764643 2028062 2203300 2305453 3529286 4056124 4610906 5070155 7058572 8823215 9221812 10140310 11154341 11527265 17646430 19411073 20280620 22308682 23054530 25350775 25359983 35292860 38822146 44116075 44617364 46109060 50701550 50719966 55771705 57636325 77644292 88232150 97055365 101403100 101439932 111543410 115272650 126799915 176464300 194110730 223086820 230545300 253599830 278858525 388221460 485276825 507199660 557717050 633999575 970553650 1115434100 1267999150 1941107300 2031104093 2535998300 4062208186 8124416372 10155520465 20311040930 22342145023 40622081860 44684290046 50777602325 89368580092 101555204650 111710725115 203110409300 223421450230 446842900460 558553625575 1117107251150 2234214502300