[go: up one dir, main page]

Search a number
-
+
17233020 = 2233574797
BaseRepresentation
bin100000110111…
…1010001111100
31012102112021000
41001233101330
513402424040
61413210300
7266323020
oct101572174
935375230
1017233020
119800472
125930990
133754b6c
142408380
1517a6130
hex106f47c

17233020 has 192 divisors, whose sum is σ = 63221760. Its totient is φ = 3815424.

The previous prime is 17232991. The next prime is 17233031. The reversal of 17233020 is 2033271.

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

It is a junction number, because it is equal to n+sod(n) for n = 17232984 and 17233002.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 177612 + ... + 177708.

It is an arithmetic number, because the mean of its divisors is an integer number (329280).

Almost surely, 217233020 is an apocalyptic number.

17233020 is a gapful number since it is divisible by the number (10) 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 17233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610880).

17233020 is an abundant number, since it is smaller than the sum of its proper divisors (45988740).

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

17233020 is a wasteful number, since it uses less digits than its factorization.

17233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 17233020 is about 4151.2672763868. The cubic root of 17233020 is about 258.2976553804.

Adding to 17233020 its reverse (2033271), we get a palindrome (19266291).

The spelling of 17233020 in words is "seventeen million, two hundred thirty-three thousand, twenty".