Search a number
-
+
242033420 = 225172924547
BaseRepresentation
bin11100110110100…
…10001100001100
3121212102120102202
432123102030030
5443430032140
640003341032
75666151536
oct1633221414
9555376382
10242033420
11114692322
1269081778
133b1b3555
1424204856
15163ad915
hexe6d230c

242033420 has 48 divisors (see below), whose sum is σ = 556748640. Its totient is φ = 87972864.

The previous prime is 242033411. The next prime is 242033423. The reversal of 242033420 is 24330242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242033392 and 242033401.

It is not an unprimeable number, because it can be changed into a prime (242033423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2414 + ... + 22133.

It is an arithmetic number, because the mean of its divisors is an integer number (11598930).

Almost surely, 2242033420 is an apocalyptic number.

242033420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242033420 is an abundant number, since it is smaller than the sum of its proper divisors (314715220).

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

242033420 is a wasteful number, since it uses less digits than its factorization.

242033420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24602 (or 24600 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 242033420 is about 15557.4233085045. The cubic root of 242033420 is about 623.1966534437.

Adding to 242033420 its reverse (24330242), we get a palindrome (266363662).

The spelling of 242033420 in words is "two hundred forty-two million, thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 24547 49094 98188 122735 245470 417299 490940 711863 834598 1423726 1669196 2086495 2847452 3559315 4172990 7118630 8345980 12101671 14237260 24203342 48406684 60508355 121016710 242033420