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2202022002264 = 233721998550931
BaseRepresentation
bin100000000010110010101…
…111010011111001011000
321210111210200212220010020
4200002302233103321120
5242034220113033024
64403332301350440
7315043105122300
oct40026257237130
97714720786106
102202022002264
11779966017237
122b6924868420
1312c85a762496
1478815316600
153c42dc0d979
hex200b2bd3e58

2202022002264 has 96 divisors (see below), whose sum is σ = 6740883748800. Its totient is φ = 596036024640.

The previous prime is 2202022002263. The next prime is 2202022002287. The reversal of 2202022002264 is 4622002202022.

It is a super-2 number, since 2×22020220022642 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202022002263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49253122 + ... + 49297809.

It is an arithmetic number, because the mean of its divisors is an integer number (70217539050).

Almost surely, 22202022002264 is an apocalyptic number.

2202022002264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2202022002264 is an abundant number, since it is smaller than the sum of its proper divisors (4538861746536).

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

2202022002264 is a wasteful number, since it uses less digits than its factorization.

2202022002264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98550973 (or 98550962 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2202022002264 its reverse (4622002202022), we get a palindrome (6824024204286).

The spelling of 2202022002264 in words is "two trillion, two hundred two billion, twenty-two million, two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 7448 11172 22344 98550931 197101862 295652793 394203724 591305586 689856517 788407448 1182611172 1379713034 1872467689 2069569551 2365222344 2759426068 3744935378 4139139102 4828995619 5518852136 5617403067 7489870756 8278278204 9657991238 11234806134 13107273823 14486986857 14979741512 16556556408 19315982476 22469612268 26214547646 28973973714 38631964952 39321821469 44939224536 52429095292 57947947428 78643642938 91750916761 104858190584 115895894856 157287285876 183501833522 275252750283 314574571752 367003667044 550505500566 734007334088 1101011001132 2202022002264