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233022020 = 225711337449
BaseRepresentation
bin11011110001110…
…10001001000100
3121020110202010012
431320322021010
5434123201040
635042245352
75526440330
oct1570721104
9536422105
10233022020
1110a597990
1266056858
133937996a
1422d3a7c0
15156cd865
hexde3a244

233022020 has 96 divisors (see below), whose sum is σ = 613267200. Its totient is φ = 72253440.

The previous prime is 233022019. The next prime is 233022103. The reversal of 233022020 is 20220332.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 233021986 and 233022004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518756 + ... + 519204.

It is an arithmetic number, because the mean of its divisors is an integer number (6388200).

Almost surely, 2233022020 is an apocalyptic number.

233022020 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 233022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306633600).

233022020 is an abundant number, since it is smaller than the sum of its proper divisors (380245180).

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

233022020 is a wasteful number, since it uses less digits than its factorization.

233022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 233022020 is about 15265.0587945150. The cubic root of 233022020 is about 615.3643334421.

Adding to 233022020 its reverse (20220332), we get a palindrome (253242352).

The spelling of 233022020 in words is "two hundred thirty-three million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 337 385 449 674 770 898 1348 1540 1685 1796 2245 2359 3143 3370 3707 4490 4718 4939 6286 6740 7414 8980 9436 9878 11795 12572 14828 15715 18535 19756 23590 24695 25949 31430 34573 37070 47180 49390 51898 62860 69146 74140 98780 103796 129745 138292 151313 172865 259490 302626 345730 518980 605252 691460 756565 1059191 1513130 1664443 2118382 3026260 3328886 4236764 5295955 6657772 8322215 10591910 11651101 16644430 21183820 23302202 33288860 46604404 58255505 116511010 233022020