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22030020304224 = 2531811392932251
BaseRepresentation
bin1010000001001010000111…
…00010001101110101100000
32220000001022222210211011020
411000211003202031311200
510341414440144213344
6114504241314245440
74432421303632542
oct500450342156540
986001288724136
1022030020304224
11702397415a7a9
122579695286880
13c3a56419bc1a
14562389b1d692
152830b864d719
hex14094388dd60

22030020304224 has 96 divisors (see below), whose sum is σ = 57877256384640. Its totient is φ = 7337189760000.

The previous prime is 22030020304189. The next prime is 22030020304247. The reversal of 22030020304224 is 42240302003022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22030020304194 and 22030020304203.

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 15 ways as a sum of consecutive naturals, for example, 683064099 + ... + 683096349.

It is an arithmetic number, because the mean of its divisors is an integer number (602888087340).

Almost surely, 222030020304224 is an apocalyptic number.

22030020304224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22030020304224 is an abundant number, since it is smaller than the sum of its proper divisors (35847236080416).

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

22030020304224 is a wasteful number, since it uses less digits than its factorization.

22030020304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38004 (or 37996 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22030020304224 its reverse (42240302003022), we get a palindrome (64270322307246).

The spelling of 22030020304224 in words is "twenty-two trillion, thirty billion, twenty million, three hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1811 3622 3929 5433 7244 7858 10866 11787 14488 15716 21732 23574 28976 31432 32251 43464 47148 57952 62864 64502 86928 94296 96753 125728 129004 173856 188592 193506 258008 377184 387012 516016 774024 1032032 1548048 3096096 7115419 14230838 21346257 28461676 42692514 56923352 58406561 85385028 113846704 116813122 126714179 170770056 175219683 227693408 233626244 253428358 341540112 350439366 380142537 467252488 506856716 683080224 700878732 760285074 934504976 1013713432 1401757464 1520570148 1869009952 2027426864 2803514928 3041140296 4054853728 5607029856 6082280592 12164561184 229479378169 458958756338 688438134507 917917512676 1376876269014 1835835025352 2753752538028 3671670050704 5507505076056 7343340101408 11015010152112 22030020304224