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242144700 = 223527671721
BaseRepresentation
bin11100110111011…
…01010110111100
3121212122020002020
432123231112330
5443442112300
640010000140
76000124140
oct1633552674
9555566066
10242144700
11114758996
1269116050
133b2220b5
1424233220
15163d18a0
hexe6ed5bc

242144700 has 144 divisors (see below), whose sum is σ = 813114624. Its totient is φ = 54489600.

The previous prime is 242144671. The next prime is 242144701. The reversal of 242144700 is 7441242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242144701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139840 + ... + 141560.

Almost surely, 2242144700 is an apocalyptic number.

242144700 is a gapful number since it is divisible by the number (20) 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 242144700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406557312).

242144700 is an abundant number, since it is smaller than the sum of its proper divisors (570969924).

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

242144700 is a wasteful number, since it uses less digits than its factorization.

242144700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 242144700 is about 15560.9993252362. Note that the first 3 decimals coincide. The cubic root of 242144700 is about 623.2921481045.

Adding to 242144700 its reverse (7441242), we get a palindrome (249585942).

The spelling of 242144700 in words is "two hundred forty-two million, one hundred forty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 67 70 75 84 100 105 134 140 150 175 201 210 268 300 335 350 402 420 469 525 670 700 804 938 1005 1050 1340 1407 1675 1721 1876 2010 2100 2345 2814 3350 3442 4020 4690 5025 5163 5628 6700 6884 7035 8605 9380 10050 10326 11725 12047 14070 17210 20100 20652 23450 24094 25815 28140 34420 35175 36141 43025 46900 48188 51630 60235 70350 72282 86050 103260 115307 120470 129075 140700 144564 172100 180705 230614 240940 258150 301175 345921 361410 461228 516300 576535 602350 691842 722820 807149 903525 1153070 1204700 1383684 1614298 1729605 1807050 2306140 2421447 2882675 3228596 3459210 3614100 4035745 4842894 5765350 6918420 8071490 8648025 9685788 11530700 12107235 16142980 17296050 20178725 24214470 34592100 40357450 48428940 60536175 80714900 121072350 242144700