Search a number
-
+
202230000 = 2433547107
BaseRepresentation
bin11000000110111…
…00100011110000
3112002112100102000
430003130203300
5403232330000
632022254000
75003632560
oct1403344360
9462470360
10202230000
11a4176435
1257887300
1332b8832b
141cc02da0
1512b4a000
hexc0dc8f0

202230000 has 400 divisors, whose sum is σ = 836732160. Its totient is φ = 45792000.

The previous prime is 202229981. The next prime is 202230001. The reversal of 202230000 is 32202.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202230001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1889947 + ... + 1890053.

Almost surely, 2202230000 is an apocalyptic number.

202230000 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 202230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418366080).

202230000 is an abundant number, since it is smaller than the sum of its proper divisors (634502160).

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

202230000 is a wasteful number, since it uses less digits than its factorization.

202230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 202230000 is about 14220.7594733896. The cubic root of 202230000 is about 586.9690389172.

Adding to 202230000 its reverse (32202), we get a palindrome (202262202).

The spelling of 202230000 in words is "two hundred two million, two hundred thirty thousand".