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2023223120 = 245671093463
BaseRepresentation
bin111100010010111…
…1110111101010000
312020000001101100122
41320211332331100
513120421114440
6532432405412
7101065053452
oct17045767520
95200041318
102023223120
11949069526
124856a6868
13263218859
141529c22d2
15bc94d7b5
hex7897ef50

2023223120 has 80 divisors (see below), whose sum is σ = 4819393920. Its totient is φ = 789668352.

The previous prime is 2023223119. The next prime is 2023223123. The reversal of 2023223120 is 213223202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023223123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582509 + ... + 585971.

It is an arithmetic number, because the mean of its divisors is an integer number (60242424).

Almost surely, 22023223120 is an apocalyptic number.

2023223120 is a gapful number since it is divisible by the number (20) 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 2023223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409696960).

2023223120 is an abundant number, since it is smaller than the sum of its proper divisors (2796170800).

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

2023223120 is a wasteful number, since it uses less digits than its factorization.

2023223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2023223120 is about 44980.2525559828. The cubic root of 2023223120 is about 1264.7788455582.

Adding to 2023223120 its reverse (213223202), we get a palindrome (2236446322).

The spelling of 2023223120 in words is "two billion, twenty-three million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 109 134 218 268 335 436 536 545 670 872 1072 1090 1340 1744 2180 2680 3463 4360 5360 6926 7303 8720 13852 14606 17315 27704 29212 34630 36515 55408 58424 69260 73030 116848 138520 146060 232021 277040 292120 377467 464042 584240 754934 928084 1160105 1509868 1856168 1887335 2320210 3019736 3712336 3774670 4640420 6039472 7549340 9280840 15098680 18561680 25290289 30197360 50580578 101161156 126451445 202322312 252902890 404644624 505805780 1011611560 2023223120