Search a number
-
+
243214525350 = 232523137471209
BaseRepresentation
bin1110001010000010110…
…1110010001110100110
3212020210001001000210100
43202200231302032212
512441100404302400
6303421535204530
723400040232556
oct3424055621646
9766701030710
10243214525350
1194168293765
123b178076746
1319c20357834
14bab3579166
1564d7278100
hex38a0b723a6

243214525350 has 144 divisors (see below), whose sum is σ = 692746554240. Its totient is φ = 61068556800.

The previous prime is 243214525297. The next prime is 243214525357. The reversal of 243214525350 is 53525412342.

243214525350 is a `hidden beast` number, since 2 + 43 + 214 + 52 + 5 + 350 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243214525357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 280546 + ... + 751754.

It is an arithmetic number, because the mean of its divisors is an integer number (4810739960).

Almost surely, 2243214525350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243214525350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346373277120).

243214525350 is an abundant number, since it is smaller than the sum of its proper divisors (449532028890).

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

243214525350 is a wasteful number, since it uses less digits than its factorization.

243214525350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471295 (or 471287 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 243214525350 its reverse (53525412342), we get a palindrome (296739937692).

The spelling of 243214525350 in words is "two hundred forty-three billion, two hundred fourteen million, five hundred twenty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 37 45 50 62 74 75 90 93 111 150 155 185 186 222 225 279 310 333 370 450 465 555 558 666 775 925 930 1110 1147 1395 1550 1665 1850 2294 2325 2775 2790 3330 3441 4650 5550 5735 6882 6975 8325 10323 11470 13950 16650 17205 20646 28675 34410 51615 57350 86025 103230 172050 258075 471209 516150 942418 1413627 2356045 2827254 4240881 4712090 7068135 8481762 11780225 14136270 14607479 17434733 21204405 23560450 29214958 34869466 35340675 42408810 43822437 52304199 70681350 73037395 87173665 87644874 104608398 106022025 131467311 146074790 156912597 174347330 212044050 219112185 261520995 262934622 313825194 365186975 435868325 438224370 523041990 540476723 657336555 730373950 784562985 871736650 1080953446 1095560925 1307604975 1314673110 1569125970 1621430169 2191121850 2615209950 2702383615 3242860338 3286682775 3922814925 4864290507 5404767230 6573365550 7845629850 8107150845 9728581014 13511918075 16214301690 24321452535 27023836150 40535754225 48642905070 81071508450 121607262675 243214525350