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224202220104 = 233532333532143
BaseRepresentation
bin1101000011001101111…
…1100110001001001000
3210102201001000212000210
43100303133212021020
512133131232020404
6250555211401120
722124640266322
oct3206337461110
9712631025023
10224202220104
11870a13433a5
1237550a531a0
13181b049c185
14abcc51a612
155c730ac689
hex34337e6248

224202220104 has 128 divisors (see below), whose sum is σ = 575425244160. Its totient is φ = 72768503808.

The previous prime is 224202220103. The next prime is 224202220127. The reversal of 224202220104 is 401022202422.

It is not an unprimeable number, because it can be changed into a prime (224202220103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104619657 + ... + 104621799.

It is an arithmetic number, because the mean of its divisors is an integer number (4495509720).

Almost surely, 2224202220104 is an apocalyptic number.

224202220104 is a gapful number since it is divisible by the number (24) 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 224202220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287712622080).

224202220104 is an abundant number, since it is smaller than the sum of its proper divisors (351223024056).

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

224202220104 is a wasteful number, since it uses less digits than its factorization.

224202220104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 224202220104 its reverse (401022202422), we get a palindrome (625224422526).

The spelling of 224202220104 in words is "two hundred twenty-four billion, two hundred two million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 233 318 353 424 466 636 699 706 932 1059 1272 1398 1412 1864 2118 2143 2796 2824 4236 4286 5592 6429 8472 8572 12349 12858 17144 18709 24698 25716 37047 37418 49396 51432 56127 74094 74836 82249 98792 112254 113579 148188 149672 164498 224508 227158 246747 296376 328996 340737 449016 454316 493494 499319 657992 681474 756479 908632 986988 998638 1362948 1497957 1512958 1973976 1997276 2269437 2725896 2995914 3025916 3994552 4359197 4538874 5991828 6051832 8718394 9077748 11983656 13077591 17436788 18155496 26155182 26463907 34873576 40093387 52310364 52927814 79391721 80186774 104620728 105855628 120280161 158783442 160373548 176259607 211711256 240560322 317566884 320747096 352519214 481120644 528778821 635133768 705038428 962241288 1057557642 1410076856 2115115284 4230230568 9341759171 18683518342 28025277513 37367036684 56050555026 74734073368 112101110052 224202220104