Search a number
-
+
2248024260 = 2235411138087
BaseRepresentation
bin1000010111111110…
…0010000011000100
312210200001110112210
42011333202003010
514100443234020
61011022543420
7106464614406
oct20577420304
95720043483
102248024260
11a53a50999
12528a37b70
1329a977691
141747bcb76
15d25563e0
hex85fe20c4

2248024260 has 96 divisors (see below), whose sum is σ = 6505857792. Its totient is φ = 579604480.

The previous prime is 2248024253. The next prime is 2248024271. The reversal of 2248024260 is 624208422.

It is a super-2 number, since 2×22480242602 = 10107226147097095200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273937 + ... + 282023.

It is an arithmetic number, because the mean of its divisors is an integer number (67769352).

Almost surely, 22248024260 is an apocalyptic number.

2248024260 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 2248024260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252928896).

2248024260 is an abundant number, since it is smaller than the sum of its proper divisors (4257833532).

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

2248024260 is a wasteful number, since it uses less digits than its factorization.

2248024260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8253 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2248024260 is about 47413.3342004124. The cubic root of 2248024260 is about 1309.9870363692.

The spelling of 2248024260 in words is "two billion, two hundred forty-eight million, twenty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 113 123 164 205 226 246 339 410 452 492 565 615 678 820 1130 1230 1356 1695 2260 2460 3390 4633 6780 8087 9266 13899 16174 18532 23165 24261 27798 32348 40435 46330 48522 55596 69495 80870 92660 97044 121305 138990 161740 242610 277980 331567 485220 663134 913831 994701 1326268 1657835 1827662 1989402 2741493 3315670 3655324 3978804 4569155 4973505 5482986 6631340 9138310 9947010 10965972 13707465 18276620 19894020 27414930 37467071 54829860 74934142 112401213 149868284 187335355 224802426 374670710 449604852 562006065 749341420 1124012130 2248024260