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221323300343420 = 2251117373158652421
BaseRepresentation
bin110010010100101011011000…
…101100101000111001111100
31002000122022010100011002202112
4302110223120230220321330
5213002130104341442140
62102414304234313152
764422036463560362
oct6224533054507174
91060568110132675
10221323300343420
116457a759180440
12209a5b315887b8
13966590ba173b2
143c92167b7b632
151a8c1d86d5c65
hexc94ad8b28e7c

221323300343420 has 96 divisors (see below), whose sum is σ = 538296244871616. Its totient is φ = 75543936307200.

The previous prime is 221323300343417. The next prime is 221323300343501. The reversal of 221323300343420 is 24343003323122.

It is a happy number.

221323300343420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77931191 + ... + 80721230.

It is an arithmetic number, because the mean of its divisors is an integer number (5607252550746).

Almost surely, 2221323300343420 is an apocalyptic number.

221323300343420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221323300343420 is an abundant number, since it is smaller than the sum of its proper divisors (316972944528196).

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

221323300343420 is a wasteful number, since it uses less digits than its factorization.

221323300343420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158652831 (or 158652829 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 221323300343420 its reverse (24343003323122), we get a palindrome (245666303666542).

The spelling of 221323300343420 in words is "two hundred twenty-one trillion, three hundred twenty-three billion, three hundred million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 373 374 746 748 935 1492 1865 1870 3730 3740 4103 6341 7460 8206 12682 16412 20515 25364 31705 41030 63410 69751 82060 126820 139502 279004 348755 697510 1395020 158652421 317304842 634609684 793262105 1586524210 1745176631 2697091157 3173048420 3490353262 5394182314 6980706524 8725883155 10788364628 13485455785 17451766310 26970911570 29668002727 34903532620 53941823140 59177353033 59336005454 118354706066 118672010908 148340013635 236709412132 295886765165 296680027270 591773530330 593360054540 650950883363 1006015001561 1183547060660 1301901766726 2012030003122 2603803533452 3254754416815 4024060006244 5030075007805 6509508833630 10060150015610 11066165017171 13019017667260 20120300031220 22132330034342 44264660068684 55330825085855 110661650171710 221323300343420