Search a number
-
+
220031240 = 235112132269
BaseRepresentation
bin11010001110101…
…10100100001000
3120100000202010012
431013112210020
5422311444430
633500011052
75311143332
oct1507264410
9510022105
10220031240
11103224800
1261830a88
133677ba00
1421318452
15144b4695
hexd1d6908

220031240 has 144 divisors (see below), whose sum is σ = 591437700. Its totient is φ = 73582080.

The previous prime is 220031239. The next prime is 220031243. The reversal of 220031240 is 42130022.

It can be written as a sum of positive squares in 6 ways, for example, as 813604 + 219217636 = 902^2 + 14806^2 .

It is not an unprimeable number, because it can be changed into a prime (220031243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 817826 + ... + 818094.

Almost surely, 2220031240 is an apocalyptic number.

220031240 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 220031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295718850).

220031240 is an abundant number, since it is smaller than the sum of its proper divisors (371406460).

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

220031240 is a wasteful number, since it uses less digits than its factorization.

220031240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 220031240 is about 14833.4500369941. The cubic root of 220031240 is about 603.7096465648.

Adding to 220031240 its reverse (42130022), we get a palindrome (262161262).

The spelling of 220031240 in words is "two hundred twenty million, thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 169 220 242 260 269 286 338 440 484 520 538 572 605 676 715 845 968 1076 1144 1210 1345 1352 1430 1573 1690 1859 2152 2420 2690 2860 2959 3146 3380 3497 3718 4840 5380 5720 5918 6292 6760 6994 7436 7865 9295 10760 11836 12584 13988 14795 14872 15730 17485 18590 20449 23672 27976 29590 31460 32549 34970 37180 38467 40898 45461 59180 62920 65098 69940 74360 76934 81796 90922 102245 118360 130196 139880 153868 162745 163592 181844 192335 204490 227305 260392 307736 325490 363688 384670 408980 423137 454610 500071 650980 769340 817960 846274 909220 1000142 1301960 1538680 1692548 1818440 2000284 2115685 2500355 3385096 4000568 4231370 5000710 5500781 8462740 10001420 11001562 16925480 20002840 22003124 27503905 44006248 55007810 110015620 220031240