Search a number
-
+
2033420112 = 243758111
BaseRepresentation
bin111100100110011…
…1000011101010000
312020201020110000000
41321030320131100
513131023420422
6533435130000
7101250533343
oct17114703520
95221213000
102033420112
119538a3699
12488ba3900
13265378c89
141540b845a
15bd7b4cac
hex79338750

2033420112 has 80 divisors (see below), whose sum is σ = 5908828160. Its totient is φ = 677795040.

The previous prime is 2033420083. The next prime is 2033420117. The reversal of 2033420112 is 2110243302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033420117) 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, 5937 + ... + 64047.

It is an arithmetic number, because the mean of its divisors is an integer number (73860352).

Almost surely, 22033420112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954414080).

2033420112 is an abundant number, since it is smaller than the sum of its proper divisors (3875408048).

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

2033420112 is an frugal number, since it uses more digits than its factorization.

2033420112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58140 (or 58116 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2033420112 is about 45093.4597475066. The cubic root of 2033420112 is about 1266.9001033603.

Adding to 2033420112 its reverse (2110243302), we get a palindrome (4143663414).

The spelling of 2033420112 in words is "two billion, thirty-three million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 8748 11664 17496 34992 58111 116222 174333 232444 348666 464888 522999 697332 929776 1045998 1394664 1568997 2091996 2789328 3137994 4183992 4706991 6275988 8367984 9413982 12551976 14120973 18827964 25103952 28241946 37655928 42362919 56483892 75311856 84725838 112967784 127088757 169451676 225935568 254177514 338903352 508355028 677806704 1016710056 2033420112