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242210214 = 232193719141
BaseRepresentation
bin11100110111111…
…01010110100110
3121212202112221200
432123331112212
5444001211324
640011223330
76000516141
oct1633752646
9555675850
10242210214
111147a3134
1269147b46
133b245b6c
142424d058
15163e5ec9
hexe6fd5a6

242210214 has 48 divisors (see below), whose sum is σ = 567368880. Its totient is φ = 74416320.

The previous prime is 242210179. The next prime is 242210219. The reversal of 242210214 is 412012242.

242210214 is a `hidden beast` number, since 242 + 210 + 214 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242210219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3084 + ... + 22224.

It is an arithmetic number, because the mean of its divisors is an integer number (11820185).

Almost surely, 2242210214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242210214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283684440).

242210214 is an abundant number, since it is smaller than the sum of its proper divisors (325158666).

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

242210214 is a wasteful number, since it uses less digits than its factorization.

242210214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19205 (or 19202 counting only the distinct ones).

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

The square root of 242210214 is about 15563.1042533294. The cubic root of 242210214 is about 623.3483551020.

Adding to 242210214 its reverse (412012242), we get a palindrome (654222456).

The spelling of 242210214 in words is "two hundred forty-two million, two hundred ten thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1406 2109 4218 6327 12654 19141 38282 57423 114846 172269 344538 363679 708217 727358 1091037 1416434 2124651 2182074 3273111 4249302 6373953 6546222 12747906 13456123 26912246 40368369 80736738 121105107 242210214