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242410224 = 2437739883
BaseRepresentation
bin11100111001011…
…10001011110000
3121220010201022110
432130232023300
5444024111344
640015405320
76002311230
oct1634561360
9556121273
10242410224
1111491a431
1269223840
133b2b5c04
14242a1cc0
15164353b9
hexe72e2f0

242410224 has 80 divisors (see below), whose sum is σ = 725564672. Its totient is φ = 68304384.

The previous prime is 242410211. The next prime is 242410229. The reversal of 242410224 is 422014242.

242410224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 242410224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242410229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19587 + ... + 29469.

Almost surely, 2242410224 is an apocalyptic number.

242410224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242410224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362782336).

242410224 is an abundant number, since it is smaller than the sum of its proper divisors (483154448).

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

242410224 is a wasteful number, since it uses less digits than its factorization.

242410224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974 (or 9968 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 242410224 is about 15569.5287019229. The cubic root of 242410224 is about 623.5198887467.

Adding to 242410224 its reverse (422014242), we get a palindrome (664424466).

The spelling of 242410224 in words is "two hundred forty-two million, four hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 3066 3504 4088 6132 8176 9883 12264 19766 24528 29649 39532 59298 69181 79064 118596 138362 158128 207543 237192 276724 415086 474384 553448 721459 830172 1106896 1442918 1660344 2164377 2885836 3320688 4328754 5050213 5771672 8657508 10100426 11543344 15150639 17315016 20200852 30301278 34630032 40401704 60602556 80803408 121205112 242410224