Search a number
-
+
2023274220 = 2235117143177
BaseRepresentation
bin111100010011000…
…1011011011101100
312020000010222110020
41320212023123230
513120424233340
6532433442140
7101065355442
oct17046133354
95200128406
102023274220
119490a3960
12485710350
13263235ba6
141529d6b92
15bc95d9d0
hex7898b6ec

2023274220 has 96 divisors (see below), whose sum is σ = 6267373056. Its totient is φ = 483571200.

The previous prime is 2023274177. The next prime is 2023274237. The reversal of 2023274220 is 224723202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25272 + ... + 68448.

It is an arithmetic number, because the mean of its divisors is an integer number (65285136).

Almost surely, 22023274220 is an apocalyptic number.

2023274220 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 2023274220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133686528).

2023274220 is an abundant number, since it is smaller than the sum of its proper divisors (4244098836).

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

2023274220 is a wasteful number, since it uses less digits than its factorization.

2023274220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43271 (or 43269 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 2023274220 is about 44980.8205794425. The cubic root of 2023274220 is about 1264.7894935278.

Adding to 2023274220 its reverse (224723202), we get a palindrome (2247997422).

The spelling of 2023274220 in words is "two billion, twenty-three million, two hundred seventy-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 660 710 781 852 1065 1420 1562 2130 2343 3124 3905 4260 4686 7810 9372 11715 15620 23430 43177 46860 86354 129531 172708 215885 259062 431770 474947 518124 647655 863540 949894 1295310 1424841 1899788 2374735 2590620 2849682 3065567 4749470 5699364 6131134 7124205 9196701 9498940 12262268 14248410 15327835 18393402 28496820 30655670 33721237 36786804 45983505 61311340 67442474 91967010 101163711 134884948 168606185 183934020 202327422 337212370 404654844 505818555 674424740 1011637110 2023274220