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20000204000224 = 257241311103223
BaseRepresentation
bin1001000110000101010010…
…00011100000101111100000
32121211000000121022210100121
410203002221003200233200
510110140404211001344
6110311544502330024
74132652462006500
oct443025103405740
977730017283317
1020000204000224
116411047832468
1222b020ba29914
13b2101b63ba26
144d202d3a1a00
1524a3b7c30684
hex1230a90e0be0

20000204000224 has 72 divisors (see below), whose sum is σ = 46921210450128. Its totient is φ = 8362454607360.

The previous prime is 20000204000221. The next prime is 20000204000243. The reversal of 20000204000224 is 42200040200002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20000204000198 and 20000204000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000204000221) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 155487324 + ... + 155615899.

It is an arithmetic number, because the mean of its divisors is an integer number (651683478474).

Almost surely, 220000204000224 is an apocalyptic number.

It is an amenable number.

20000204000224 is an abundant number, since it is smaller than the sum of its proper divisors (26921006449904).

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

20000204000224 is a wasteful number, since it uses less digits than its factorization.

20000204000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311103288 (or 311103273 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20000204000224 its reverse (42200040200002), we get a palindrome (62200244200226).

The spelling of 20000204000224 in words is "twenty trillion, two hundred four million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 82 98 112 164 196 224 287 328 392 574 656 784 1148 1312 1568 2009 2296 4018 4592 8036 9184 16072 32144 64288 311103223 622206446 1244412892 2177722561 2488825784 4355445122 4977651568 8710890244 9955303136 12755232143 15244057927 17421780488 25510464286 30488115854 34843560976 51020928572 60976231708 69687121952 89286625001 102041857144 121952463416 178573250002 204083714288 243904926832 357146500004 408167428576 487809853664 625006375007 714293000008 1250012750014 1428586000016 2500025500028 2857172000032 5000051000056 10000102000112 20000204000224