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243010152 = 233371119769
BaseRepresentation
bin11100111110000…
…00101001101000
3121221021012021000
432133000221220
5444202311102
640040315000
76010360260
oct1637005150
9557235230
10243010152
1111519a140
1269472a60
133b465cb8
14243ba7a0
151650301c
hexe7c0a68

243010152 has 256 divisors, whose sum is σ = 887040000. Its totient is φ = 59719680.

The previous prime is 243010129. The next prime is 243010193. The reversal of 243010152 is 251010342.

243010152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 315624 + ... + 316392.

It is an arithmetic number, because the mean of its divisors is an integer number (3465000).

Almost surely, 2243010152 is an apocalyptic number.

243010152 is a gapful number since it is divisible by the number (22) 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 243010152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520000).

243010152 is an abundant number, since it is smaller than the sum of its proper divisors (644029848).

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

243010152 is a wasteful number, since it uses less digits than its factorization.

243010152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 243010152 is about 15588.7828902708. The cubic root of 243010152 is about 624.0338369225.

Adding to 243010152 its reverse (251010342), we get a palindrome (494020494).

The spelling of 243010152 in words is "two hundred forty-three million, ten thousand, one hundred fifty-two".