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242241120 = 253251141373
BaseRepresentation
bin11100111000001…
…00111001100000
3121212211010100100
432130010321200
5444003203440
640012022400
76001005222
oct1634047140
9555733310
10242241120
11114814380
1269161a00
133b256c54
142425a412
1516400230
hexe704e60

242241120 has 288 divisors, whose sum is σ = 926269344. Its totient is φ = 57139200.

The previous prime is 242241119. The next prime is 242241121. The reversal of 242241120 is 21142242.

It is an interprime number because it is at equal distance from previous prime (242241119) and next prime (242241121).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 242241093 and 242241102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242241121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649254 + ... + 649626.

It is an arithmetic number, because the mean of its divisors is an integer number (3216213).

Almost surely, 2242241120 is an apocalyptic number.

242241120 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 242241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463134672).

242241120 is an abundant number, since it is smaller than the sum of its proper divisors (684028224).

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

242241120 is a wasteful number, since it uses less digits than its factorization.

242241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242241120 is about 15564.0971469597. The cubic root of 242241120 is about 623.3748670378.

Adding to 242241120 its reverse (21142242), we get a palindrome (263383362).

The spelling of 242241120 in words is "two hundred forty-two million, two hundred forty-one thousand, one hundred twenty".