Search a number
-
+
212203530 = 233571159173
BaseRepresentation
bin11001010010111…
…11100000001010
3112210022001112000
430221133200022
5413311003110
633020131430
75154462120
oct1451374012
9483261460
10212203530
11a9868720
125b096b76
1334c6ab26
142027b910
151396a1c0
hexca5f80a

212203530 has 256 divisors, whose sum is σ = 721612800. Its totient is φ = 43096320.

The previous prime is 212203529. The next prime is 212203531. The reversal of 212203530 is 35302212.

It is an interprime number because it is at equal distance from previous prime (212203529) and next prime (212203531).

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

It is not an unprimeable number, because it can be changed into a prime (212203531) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1226524 + ... + 1226696.

It is an arithmetic number, because the mean of its divisors is an integer number (2818800).

Almost surely, 2212203530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212203530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360806400).

212203530 is an abundant number, since it is smaller than the sum of its proper divisors (509409270).

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

212203530 is a wasteful number, since it uses less digits than its factorization.

212203530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 212203530 is about 14567.2073507588. The cubic root of 212203530 is about 596.4639515406.

Adding to 212203530 its reverse (35302212), we get a palindrome (247505742).

The spelling of 212203530 in words is "two hundred twelve million, two hundred three thousand, five hundred thirty".