Search a number
-
+
2250117280 = 255176712347
BaseRepresentation
bin1000011000011110…
…0001000010100000
312210210222210122001
42012013201002200
514102012223110
61011135453344
7106521452455
oct20607410240
95723883561
102250117280
11a55150464
12529687254
1329b22b258
14174ba582c
15d281b63a
hex861e10a0

2250117280 has 96 divisors (see below), whose sum is σ = 5713073856. Its totient is φ = 834392064.

The previous prime is 2250117271. The next prime is 2250117281. The reversal of 2250117280 is 827110522.

It is not an unprimeable number, because it can be changed into a prime (2250117281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176067 + ... + 188413.

It is an arithmetic number, because the mean of its divisors is an integer number (59511186).

Almost surely, 22250117280 is an apocalyptic number.

2250117280 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 2250117280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856536928).

2250117280 is an abundant number, since it is smaller than the sum of its proper divisors (3462956576).

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

2250117280 is a wasteful number, since it uses less digits than its factorization.

2250117280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12446 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 2250117280 is about 47435.4011261631. The cubic root of 2250117280 is about 1310.3934641571.

The spelling of 2250117280 in words is "two billion, two hundred fifty million, one hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 67 68 80 85 134 136 160 170 268 272 335 340 536 544 670 680 1072 1139 1340 1360 2144 2278 2680 2720 4556 5360 5695 9112 10720 11390 12347 18224 22780 24694 36448 45560 49388 61735 91120 98776 123470 182240 197552 209899 246940 395104 419798 493880 827249 839596 987760 1049495 1654498 1679192 1975520 2098990 3308996 3358384 4136245 4197980 6617992 6716768 8272490 8395960 13235984 14063233 16544980 16791920 26471968 28126466 33089960 33583840 56252932 66179920 70316165 112505864 132359840 140632330 225011728 281264660 450023456 562529320 1125058640 2250117280