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2023222124 = 2271123731601
BaseRepresentation
bin111100010010111…
…1110101101101100
312020000001022222202
41320211332231230
513120421101444
6532432401032
7101065050530
oct17045765554
95200038882
102023222124
11949068800
124856a6178
13263218271
141529c1bc0
15bc94d34e
hex7897eb6c

2023222124 has 72 divisors (see below), whose sum is σ = 4462454304. Its totient is φ = 785664000.

The previous prime is 2023222109. The next prime is 2023222133. The reversal of 2023222124 is 4212223202.

It is a junction number, because it is equal to n+sod(n) for n = 2023222096 and 2023222105.

It is an unprimeable number.

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, 1262924 + ... + 1264524.

It is an arithmetic number, because the mean of its divisors is an integer number (61978532).

Almost surely, 22023222124 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 2023222124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231227152).

2023222124 is an abundant number, since it is smaller than the sum of its proper divisors (2439232180).

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

2023222124 is a wasteful number, since it uses less digits than its factorization.

2023222124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2023222124 is about 44980.2414844563. The cubic root of 2023222124 is about 1264.7786380148.

Adding to 2023222124 its reverse (4212223202), we get a palindrome (6235445326).

The spelling of 2023222124 in words is "two billion, twenty-three million, two hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 373 484 746 847 1492 1601 1694 2611 3202 3388 4103 5222 6404 8206 10444 11207 16412 17611 22414 28721 35222 44828 45133 57442 70444 90266 114884 123277 180532 193721 246554 315931 387442 493108 597173 631862 774884 1194346 1263724 1356047 2388692 2712094 4180211 5424188 6568903 8360422 13137806 16720844 26275612 45982321 72257933 91964642 144515866 183929284 289031732 505805531 1011611062 2023222124