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2232444242140 = 22578322314709
BaseRepresentation
bin100000011111001000000…
…010111100100011011100
321220102022212200210201021
4200133020002330203130
5243034021211222030
64425323135453524
7320201022651220
oct40371002744334
97812285623637
102232444242140
11790857636342
123007b50872a4
13132698454958
147a09d874780
153d10e94097a
hex207c80bc8dc

2232444242140 has 72 divisors (see below), whose sum is σ = 5423198870880. Its totient is φ = 756187327104.

The previous prime is 2232444242137. The next prime is 2232444242209. The reversal of 2232444242140 is 412424442322.

It is a super-3 number, since 3×22324442421403 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232444242096 and 2232444242105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192895 + ... + 2121814.

It is an arithmetic number, because the mean of its divisors is an integer number (75322206540).

Almost surely, 22232444242140 is an apocalyptic number.

2232444242140 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 2232444242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711599435440).

2232444242140 is an abundant number, since it is smaller than the sum of its proper divisors (3190754628740).

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

2232444242140 is a wasteful number, since it uses less digits than its factorization.

2232444242140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314891 (or 2314806 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 2232444242140 its reverse (412424442322), we get a palindrome (2644868684462).

The spelling of 2232444242140 in words is "two trillion, two hundred thirty-two billion, four hundred forty-four million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 6889 11620 13778 27556 34445 48223 68890 96446 137780 192892 241115 482230 964460 2314709 4629418 9258836 11573545 16202963 23147090 32405926 46294180 64811852 81014815 162029630 192120847 324059260 384241694 768483388 960604235 1344845929 1921208470 2689691858 3842416940 5379383716 6724229645 13448459290 15946030301 26896918580 31892060602 63784121204 79730151505 111622212107 159460303010 223244424214 318920606020 446488848428 558111060535 1116222121070 2232444242140