Search a number
-
+
241223200200 = 23345273203977
BaseRepresentation
bin1110000010101000000…
…1011110110111001000
3212001122021000020020000
43200222001132313020
512423011114401300
6302452202203000
723266510241103
oct3405201366710
9761567006200
10241223200200
11933362316a4
123a9011b3460
1319993929b28
14b964cdb73a
15641c52ac00
hex382a05edc8

241223200200 has 240 divisors, whose sum is σ = 849284840580. Its totient is φ = 63444695040.

The previous prime is 241223200199. The next prime is 241223200201. The reversal of 241223200200 is 2002322142.

241223200200 is a `hidden beast` number, since 2 + 41 + 223 + 200 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (241223200199) and next prime (241223200201).

It can be written as a sum of positive squares in 6 ways, for example, as 174495011076 + 66728189124 = 417726^2 + 258318^2 .

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 (241223200201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1080612 + ... + 1284588.

Almost surely, 2241223200200 is an apocalyptic number.

241223200200 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 241223200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424642420290).

241223200200 is an abundant number, since it is smaller than the sum of its proper divisors (608061640380).

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

241223200200 is a wasteful number, since it uses less digits than its factorization.

241223200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204078 (or 204060 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 241223200200 its reverse (2002322142), we get a palindrome (243225522342).

The spelling of 241223200200 in words is "two hundred forty-one billion, two hundred twenty-three million, two hundred thousand, two hundred".