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2220144302012 = 22721373117110193
BaseRepresentation
bin100000010011101010111…
…010011001011110111100
321212020120200012002212012
4200103222322121132330
5242333323420131022
64415530433230352
7316254150124400
oct40235272313674
97766520162765
102220144302012
1178661564126a
122ba341a023b8
13131488113680
147965409b100
153cb3ebc3de2
hex204eae997bc

2220144302012 has 144 divisors (see below), whose sum is σ = 4938611825952. Its totient is φ = 865442672640.

The previous prime is 2220144302009. The next prime is 2220144302027. The reversal of 2220144302012 is 2102034410222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217805588 + ... + 217815780.

It is an arithmetic number, because the mean of its divisors is an integer number (34295915458).

Almost surely, 22220144302012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220144302012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469305912976).

2220144302012 is an abundant number, since it is smaller than the sum of its proper divisors (2718467523940).

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

2220144302012 is a wasteful number, since it uses less digits than its factorization.

2220144302012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11468 (or 11459 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2220144302012 its reverse (2102034410222), we get a palindrome (4322178712234).

The spelling of 2220144302012 in words is "two trillion, two hundred twenty billion, one hundred forty-four million, three hundred two thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 73 91 98 146 182 196 292 364 511 637 949 1022 1171 1274 1898 2044 2342 2548 3577 3796 4684 6643 7154 8197 10193 13286 14308 15223 16394 20386 26572 30446 32788 40772 46501 57379 60892 71351 85483 93002 106561 114758 132509 142702 170966 186004 213122 229516 265018 285404 341932 426244 499457 530036 598381 744089 745927 927563 998914 1111279 1196762 1488178 1491854 1855126 1997828 2222558 2393524 2976356 2983708 3710252 4188667 4445116 5208623 6492941 7778953 8377334 9673157 10417246 11936003 12985882 15557906 16754668 19346314 20834492 23872006 25971764 31115812 36460361 38692628 47744012 54452671 67712099 72920722 83552021 108905342 135424198 145841444 155168039 167104042 217810684 270848396 310336078 334208084 473984693 584864147 620672156 871328219 947969386 1086176273 1169728294 1742656438 1895938772 2172352546 2339456588 3485312876 4344705092 6099297533 7603233911 11327266847 12198595066 15206467822 22654533694 24397190132 30412935644 42695082731 45309067388 79290867929 85390165462 158581735858 170780330924 317163471716 555036075503 1110072151006 2220144302012