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242219208 = 233711131071
BaseRepresentation
bin11100110111111…
…11100011001000
3121212210000021210
432123333203020
5444002003313
640011333120
76000554310
oct1633774310
9555700253
10242219208
111147a9970
12691511a0
133b249c9a
1424252440
15163e89c3
hexe6ff8c8

242219208 has 64 divisors (see below), whose sum is σ = 754974720. Its totient is φ = 62913600.

The previous prime is 242219189. The next prime is 242219209. The reversal of 242219208 is 802912242.

242219208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242219209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63688 + ... + 67383.

It is an arithmetic number, because the mean of its divisors is an integer number (11796480).

Almost surely, 2242219208 is an apocalyptic number.

242219208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

242219208 is an abundant number, since it is smaller than the sum of its proper divisors (512755512).

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

242219208 is a wasteful number, since it uses less digits than its factorization.

242219208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131098 (or 131094 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 242219208 is about 15563.3932032831. The cubic root of 242219208 is about 623.3560706117.

The spelling of 242219208 in words is "two hundred forty-two million, two hundred nineteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 131071 262142 393213 524284 786426 917497 1048568 1441781 1572852 1834994 2752491 2883562 3145704 3669988 4325343 5504982 5767124 7339976 8650686 10092467 11009964 11534248 17301372 20184934 22019928 30277401 34602744 40369868 60554802 80739736 121109604 242219208