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2242303331100 = 2235271718962119
BaseRepresentation
bin100000101000010011101…
…100011000101100011100
321221100202222022102020020
4200220103230120230130
5243214214123043400
64434033330152140
7321000236556630
oct40502354305434
97840688272206
102242303331100
11794a56856848
123026a6a22650
131335a9ba61c1
147a756dd6dc0
153d4da2672a0
hex20a13b18b1c

2242303331100 has 144 divisors (see below), whose sum is σ = 7415100403200. Its totient is φ = 512488408320.

The previous prime is 2242303331057. The next prime is 2242303331141. The reversal of 2242303331100 is 11333032422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36065841 + ... + 36127959.

It is an arithmetic number, because the mean of its divisors is an integer number (51493752800).

Almost surely, 22242303331100 is an apocalyptic number.

2242303331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242303331100 is an abundant number, since it is smaller than the sum of its proper divisors (5172797072100).

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

2242303331100 is a wasteful number, since it uses less digits than its factorization.

2242303331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79332 (or 79325 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2242303331100 its reverse (11333032422), we get a palindrome (2253636363522).

The spelling of 2242303331100 in words is "two trillion, two hundred forty-two billion, three hundred three million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 17189 34378 51567 62119 68756 85945 103134 120323 124238 171890 186357 206268 240646 248476 257835 310595 343780 360969 372714 429725 434833 481292 515670 601615 621190 721938 745428 859450 869666 931785 1031340 1203230 1242380 1289175 1304499 1443876 1552975 1718900 1739332 1804845 1863570 2174165 2406460 2578350 2608998 3008075 3105950 3609690 3727140 4348330 4658925 5156700 5217996 6016150 6211900 6522495 7219380 8696660 9024225 9317850 10870825 12032300 13044990 18048450 18635700 21741650 26089980 32612475 36096900 43483300 65224950 130449900 1067763491 2135526982 3203290473 4271053964 5338817455 6406580946 7474344437 10677634910 12813161892 14948688874 16016452365 21355269820 22423033311 26694087275 29897377748 32032904730 37371722185 44846066622 53388174550 64065809460 74743444370 80082261825 89692133244 106776349100 112115166555 149486888740 160164523650 186858610925 224230333110 320329047300 373717221850 448460666220 560575832775 747434443700 1121151665550 2242303331100