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242067231 = 3377971607
BaseRepresentation
bin11100110110110…
…10011100011111
3121212111021211000
432123122130133
5443432122411
640004201343
75666352240
oct1633323437
9555437730
10242067231
1111470576a
1269099253
133b1c5a63
1424212cc7
15163b8956
hexe6da71f

242067231 has 32 divisors (see below), whose sum is σ = 410618880. Its totient is φ = 138064608.

The previous prime is 242067229. The next prime is 242067247. The reversal of 242067231 is 132760242.

242067231 is a `hidden beast` number, since 2 + 420 + 6 + 7 + 231 = 666.

It is not a de Polignac number, because 242067231 - 21 = 242067229 is a prime.

It is a super-2 number, since 2×2420672312 = 117193088648014722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242067195 and 242067204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242067211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149830 + ... + 151436.

It is an arithmetic number, because the mean of its divisors is an integer number (12831840).

Almost surely, 2242067231 is an apocalyptic number.

242067231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242067231 is a deficient number, since it is larger than the sum of its proper divisors (168551649).

242067231 is a wasteful number, since it uses less digits than its factorization.

242067231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 242067231 is about 15558.5099222258. The cubic root of 242067231 is about 623.2256713660.

The spelling of 242067231 in words is "two hundred forty-two million, sixty-seven thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 797 1607 2391 4821 5579 7173 11249 14463 16737 21519 33747 43389 50211 101241 150633 303723 1280779 3842337 8965453 11527011 26896359 34581033 80689077 242067231