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233000120020 = 225109132180909
BaseRepresentation
bin1101100011111111100…
…0111010111011010100
3211021102011211110211211
43120333320322323110
512304141012320040
6255012213111204
722555650225313
oct3307770727324
9737364743754
10233000120020
118a8a6547868
12391a7328504
1318c8310b305
14b3c4b6427a
1560da6678ea
hex363fe3aed4

233000120020 has 48 divisors (see below), whose sum is σ = 494169152400. Its totient is φ = 92273955840.

The previous prime is 233000119991. The next prime is 233000120099. The reversal of 233000120020 is 20021000332.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9473518224 + 223526601796 = 97332^2 + 472786^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2839326 + ... + 2920234.

It is an arithmetic number, because the mean of its divisors is an integer number (10295190675).

Almost surely, 2233000120020 is an apocalyptic number.

233000120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233000120020 is an abundant number, since it is smaller than the sum of its proper divisors (261169032380).

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

233000120020 is a wasteful number, since it uses less digits than its factorization.

233000120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82348 (or 82346 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 233000120020 its reverse (20021000332), we get a palindrome (253021120352).

The spelling of 233000120020 in words is "two hundred thirty-three billion, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 1321 2180 2642 5284 6605 13210 26420 80909 143989 161818 287978 323636 404545 575956 719945 809090 1439890 1618180 2879780 8819081 17638162 35276324 44095405 88190810 106880789 176381620 213761578 427523156 534403945 1068807890 2137615780 11650006001 23300012002 46600024004 58250030005 116500060010 233000120020