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2023023120 = 243517229167
BaseRepresentation
bin111100010010100…
…1110001000010000
312012222200020000020
41320211032020100
513120343214440
6532424223440
7101063261406
oct17045161020
95188606006
102023023120
11948a42238
1248560ab80
13263178801
1415296d476
15bc90e3d0
hex7894e210

2023023120 has 120 divisors (see below), whose sum is σ = 6662204544. Its totient is φ = 507721728.

The previous prime is 2023023109. The next prime is 2023023127. The reversal of 2023023120 is 213203202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2023023120.

It is not an unprimeable number, because it can be changed into a prime (2023023127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54777 + ... + 83943.

Almost surely, 22023023120 is an apocalyptic number.

2023023120 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 2023023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331102272).

2023023120 is an abundant number, since it is smaller than the sum of its proper divisors (4639181424).

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

2023023120 is a wasteful number, since it uses less digits than its factorization.

2023023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29217 (or 29194 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2023023120 is about 44978.0293032054. The cubic root of 2023023120 is about 1264.7371688062.

Adding to 2023023120 its reverse (213203202), we get a palindrome (2236226322).

The spelling of 2023023120 in words is "two billion, twenty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 289 340 408 510 578 680 816 867 1020 1156 1360 1445 1734 2040 2312 2890 3468 4080 4335 4624 5780 6936 8670 11560 13872 17340 23120 29167 34680 58334 69360 87501 116668 145835 175002 233336 291670 350004 437505 466672 495839 583340 700008 875010 991678 1166680 1400016 1487517 1750020 1983356 2333360 2479195 2975034 3500040 3966712 4958390 5950068 7000080 7437585 7933424 8429263 9916780 11900136 14875170 16858526 19833560 23800272 25287789 29750340 33717052 39667120 42146315 50575578 59500680 67434104 84292630 101151156 119001360 126438945 134868208 168585260 202302312 252877890 337170520 404604624 505755780 674341040 1011511560 2023023120