Search a number
-
+
230203122300 = 2232522941215123
BaseRepresentation
bin1101011001100100101…
…1001110001001111100
3211000012020210021021200
43112121023032021330
512232423444403200
6253430455455500
722426435153104
oct3263113161174
9730166707250
10230203122300
11896a072aaa8
1238746687590
13189287c2788
14b1db4c2204
155ec4d22800
hex35992ce27c

230203122300 has 216 divisors, whose sum is σ = 764649653040. Its totient is φ = 57824793600.

The previous prime is 230203122251. The next prime is 230203122307. The reversal of 230203122300 is 3221302032.

It is a happy number.

230203122300 is a `hidden beast` number, since 2 + 30 + 20 + 312 + 2 + 300 = 666.

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 (230203122307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 962539 + ... + 1177661.

It is an arithmetic number, because the mean of its divisors is an integer number (3540044690).

Almost surely, 2230203122300 is an apocalyptic number.

230203122300 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 230203122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382324826520).

230203122300 is an abundant number, since it is smaller than the sum of its proper divisors (534446530740).

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

230203122300 is a wasteful number, since it uses less digits than its factorization.

230203122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215213 (or 215203 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230203122300 its reverse (3221302032), we get a palindrome (233424424332).

The spelling of 230203122300 in words is "two hundred thirty billion, two hundred three million, one hundred twenty-two thousand, three hundred".