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242203104 = 253211135881
BaseRepresentation
bin11100110111110…
…11100111100000
3121212202012012100
432123323213200
5444000444404
640011130400
76000456333
oct1633734740
9555665170
10242203104
11114798860
1269143a00
133b242860
142424a61a
15163e3d39
hexe6fb9e0

242203104 has 144 divisors (see below), whose sum is σ = 809316144. Its totient is φ = 67737600.

The previous prime is 242203103. The next prime is 242203111. The reversal of 242203104 is 401302242.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242203103) 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 23 ways as a sum of consecutive naturals, for example, 38244 + ... + 44124.

It is an arithmetic number, because the mean of its divisors is an integer number (5620251).

Almost surely, 2242203104 is an apocalyptic number.

242203104 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 242203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404658072).

242203104 is an abundant number, since it is smaller than the sum of its proper divisors (567113040).

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

242203104 is a wasteful number, since it uses less digits than its factorization.

242203104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242203104 is about 15562.8758267873. The cubic root of 242203104 is about 623.3422556480.

Adding to 242203104 its reverse (401302242), we get a palindrome (643505346).

The spelling of 242203104 in words is "two hundred forty-two million, two hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 5881 6864 10296 11762 13728 17643 20592 23524 35286 41184 47048 52929 64691 70572 76453 94096 105858 129382 141144 152906 188192 194073 211716 229359 258764 282288 305812 388146 423432 458718 517528 564576 582219 611624 688077 776292 840983 846864 917436 1035056 1164438 1223248 1376154 1552584 1681966 1693728 1834872 2070112 2328876 2446496 2522949 2752308 3105168 3363932 3669744 4657752 5045898 5504616 6210336 6727864 7339488 7568847 9315504 10091796 11009232 13455728 15137694 18631008 20183592 22018464 26911456 30275388 40367184 60550776 80734368 121101552 242203104