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20224103104224 = 253343544361087
BaseRepresentation
bin1001001100100110010100…
…11110110011111011100000
32122121101221111222202021000
410212103022132303323200
510122322430343313344
6111002454045232000
74155100062000525
oct446231236637340
978541844882230
1020224103104224
116497aa2a63188
122327697262600
13b3918108b956
144dcbcd53714c
1525111e3b5a69
hex1264ca7b3ee0

20224103104224 has 96 divisors (see below), whose sum is σ = 60358757437440. Its totient is φ = 6584591696256.

The previous prime is 20224103104213. The next prime is 20224103104339. The reversal of 20224103104224 is 42240130142202.

It is a happy number.

20224103104224 is a `hidden beast` number, since 2 + 0 + 22 + 410 + 3 + 1 + 0 + 4 + 224 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272143392 + ... + 272217695.

It is an arithmetic number, because the mean of its divisors is an integer number (628737056640).

Almost surely, 220224103104224 is an apocalyptic number.

20224103104224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20224103104224 is an abundant number, since it is smaller than the sum of its proper divisors (40134654333216).

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

20224103104224 is a wasteful number, since it uses less digits than its factorization.

20224103104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544361149 (or 544361135 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20224103104224 its reverse (42240130142202), we get a palindrome (62464233246426).

The spelling of 20224103104224 in words is "twenty trillion, two hundred twenty-four billion, one hundred three million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4644 6192 9288 12384 18576 37152 544361087 1088722174 1633083261 2177444348 3266166522 4354888696 4899249783 6532333044 8709777392 9798499566 13064666088 14697749349 17419554784 19596999132 23407526741 26129332176 29395498698 39193998264 46815053482 52258664352 58790997396 70222580223 78387996528 93630106964 117581994792 140445160446 156775993056 187260213928 210667740669 235163989584 280890320892 374520427856 421335481338 470327979168 561780641784 632003222007 749040855712 842670962676 1123561283568 1264006444014 1685341925352 2247122567136 2528012888028 3370683850704 5056025776056 6741367701408 10112051552112 20224103104224