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242243440 = 2453781839
BaseRepresentation
bin11100111000001…
…01011101110000
3121212211020112021
432130011131300
5444003242230
640012041224
76001015045
oct1634053560
9555736467
10242243440
1111481609a
1269163214
133b25801a
142425b1cc
1516400c7a
hexe705770

242243440 has 40 divisors (see below), whose sum is σ = 578445120. Its totient is φ = 94277376.

The previous prime is 242243437. The next prime is 242243447. The reversal of 242243440 is 44342242.

242243440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242243447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37960 + ... + 43879.

It is an arithmetic number, because the mean of its divisors is an integer number (14461128).

Almost surely, 2242243440 is an apocalyptic number.

242243440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242243440 is an abundant number, since it is smaller than the sum of its proper divisors (336201680).

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

242243440 is a wasteful number, since it uses less digits than its factorization.

242243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81889 (or 81883 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 242243440 is about 15564.1716772850. The cubic root of 242243440 is about 623.3768571005.

Adding to 242243440 its reverse (44342242), we get a palindrome (286585682).

The spelling of 242243440 in words is "two hundred forty-two million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 81839 163678 327356 409195 654712 818390 1309424 1636780 3028043 3273560 6056086 6547120 12112172 15140215 24224344 30280430 48448688 60560860 121121720 242243440