Search a number
-
+
2250389520 = 243354324229
BaseRepresentation
bin1000011000100010…
…0011100000010000
312210211111122002000
42012020203200100
514102044431040
61011145354000
7106523665251
oct20610434020
95724448060
102250389520
11a55316a55
12529798900
1329b2c5142
14174c36b28
15d2872130
hex86223810

2250389520 has 160 divisors (see below), whose sum is σ = 7931932800. Its totient is φ = 586123776.

The previous prime is 2250389459. The next prime is 2250389521. The reversal of 2250389520 is 259830522.

2250389520 is a `hidden beast` number, since 2 + 2 + 50 + 3 + 89 + 520 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2250389521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80766 + ... + 104994.

It is an arithmetic number, because the mean of its divisors is an integer number (49574580).

Almost surely, 22250389520 is an apocalyptic number.

2250389520 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 2250389520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965966400).

2250389520 is an abundant number, since it is smaller than the sum of its proper divisors (5681543280).

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

2250389520 is a wasteful number, since it uses less digits than its factorization.

2250389520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24294 (or 24282 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2250389520 is about 47438.2706261516. The cubic root of 2250389520 is about 1310.4463098663.

The spelling of 2250389520 in words is "two billion, two hundred fifty million, three hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 43 45 48 54 60 72 80 86 90 108 120 129 135 144 172 180 215 216 240 258 270 344 360 387 430 432 516 540 645 688 720 774 860 1032 1080 1161 1290 1548 1720 1935 2064 2160 2322 2580 3096 3440 3870 4644 5160 5805 6192 7740 9288 10320 11610 15480 18576 23220 24229 30960 46440 48458 72687 92880 96916 121145 145374 193832 218061 242290 290748 363435 387664 436122 484580 581496 654183 726870 872244 969160 1041847 1090305 1162992 1308366 1453740 1744488 1938320 2083694 2180610 2616732 2907480 3125541 3270915 3488976 4167388 4361220 5209235 5233464 5814960 6251082 6541830 8334776 8722440 9376623 10418470 10466928 12502164 13083660 15627705 16669552 17444880 18753246 20836940 25004328 26167320 28129869 31255410 37506492 41673880 46883115 50008656 52334640 56259738 62510820 75012984 83347760 93766230 112519476 125021640 140649345 150025968 187532460 225038952 250043280 281298690 375064920 450077904 562597380 750129840 1125194760 2250389520