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242212014 = 232115323081
BaseRepresentation
bin11100110111111…
…01110010101110
3121212202122102100
432123331302232
5444001241024
640011235530
76000524322
oct1633756256
9555678370
10242212014
111147a4520
1269148ba6
133b246925
142424d982
15163e67c9
hexe6fdcae

242212014 has 48 divisors (see below), whose sum is σ = 583328304. Its totient is φ = 72009600.

The previous prime is 242212001. The next prime is 242212037. The reversal of 242212014 is 410212242.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1047 + ... + 22034.

It is an arithmetic number, because the mean of its divisors is an integer number (12152673).

Almost surely, 2242212014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242212014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291664152).

242212014 is an abundant number, since it is smaller than the sum of its proper divisors (341116290).

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

242212014 is a wasteful number, since it uses less digits than its factorization.

242212014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23153 (or 23150 counting only the distinct ones).

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

The square root of 242212014 is about 15563.1620823019. The cubic root of 242212014 is about 623.3498992487.

Adding to 242212014 its reverse (410212242), we get a palindrome (652424256).

The spelling of 242212014 in words is "two hundred forty-two million, two hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 10494 23081 46162 69243 138486 207729 253891 415458 507782 761673 1223293 1523346 2285019 2446586 3669879 4570038 7339758 11009637 13456223 22019274 26912446 40368669 80737338 121106007 242212014