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2022001000224 = 25338954145271
BaseRepresentation
bin11101011011001000101…
…001101011111100100000
321011022010201121110111020
4131123020221223330200
5231112024224001344
64144521110445440
7266041032630612
oct35331051537440
97138121543436
102022001000224
1170a58693a9a7
12287a64063880
1311889b6766ba
146dc18810db2
15378e4757719
hex1d6c8a6bf20

2022001000224 has 48 divisors (see below), whose sum is σ = 5321397332160. Its totient is φ = 672267672320.

The previous prime is 2022001000223. The next prime is 2022001000249. The reversal of 2022001000224 is 4220001002202.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2022001000223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27035292 + ... + 27109979.

It is an arithmetic number, because the mean of its divisors is an integer number (110862444420).

Almost surely, 22022001000224 is an apocalyptic number.

2022001000224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2022001000224 is an abundant number, since it is smaller than the sum of its proper divisors (3299396331936).

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

2022001000224 is a wasteful number, since it uses less digits than its factorization.

2022001000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54145673 (or 54145665 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 2022001000224 its reverse (4220001002202), we get a palindrome (6242002002426).

The spelling of 2022001000224 in words is "two trillion, twenty-two billion, one million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 389 778 1167 1556 2334 3112 4668 6224 9336 12448 18672 37344 54145271 108290542 162435813 216581084 324871626 433162168 649743252 866324336 1299486504 1732648672 2598973008 5197946016 21062510419 42125020838 63187531257 84250041676 126375062514 168500083352 252750125028 337000166704 505500250056 674000333408 1011000500112 2022001000224