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242244640 = 25511137639
BaseRepresentation
bin11100111000001…
…01110000100000
3121212211022011201
432130011300200
5444003312030
640012050544
76001021411
oct1634056040
9555738151
10242244640
11114816a90
1269163a54
133b258731
142425b808
15164012ca
hexe705c20

242244640 has 48 divisors (see below), whose sum is σ = 624335040. Its totient is φ = 88088320.

The previous prime is 242244631. The next prime is 242244641. The reversal of 242244640 is 46442242.

It is a junction number, because it is equal to n+sod(n) for n = 242244599 and 242244608.

It is not an unprimeable number, because it can be changed into a prime (242244641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67060 + ... + 70579.

It is an arithmetic number, because the mean of its divisors is an integer number (13006980).

Almost surely, 2242244640 is an apocalyptic number.

242244640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242244640 is an abundant number, since it is smaller than the sum of its proper divisors (382090400).

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

242244640 is a wasteful number, since it uses less digits than its factorization.

242244640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137665 (or 137657 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 242244640 is about 15564.2102273132. The cubic root of 242244640 is about 623.3778864383.

Adding to 242244640 its reverse (46442242), we get a palindrome (288686882).

The spelling of 242244640 in words is "two hundred forty-two million, two hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 137639 275278 550556 688195 1101112 1376390 1514029 2202224 2752780 3028058 4404448 5505560 6056116 7570145 11011120 12112232 15140290 22022240 24224464 30280580 48448928 60561160 121122320 242244640