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220141020 = 2235112811187
BaseRepresentation
bin11010001111100…
…01010111011100
3120100020022201010
431013301113130
5422324003040
633502215220
75312111361
oct1507612734
9510208633
10220141020
1110329a230
1261884510
13367b9978
1421346468
15144d6e80
hexd1f15dc

220141020 has 96 divisors (see below), whose sum is σ = 675392256. Its totient is φ = 53132800.

The previous prime is 220141003. The next prime is 220141057. The reversal of 220141020 is 20141022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220140987 and 220141005.

It is a congruent number.

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, 184867 + ... + 186053.

It is an arithmetic number, because the mean of its divisors is an integer number (7035336).

Almost surely, 2220141020 is an apocalyptic number.

220141020 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 220141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337696128).

220141020 is an abundant number, since it is smaller than the sum of its proper divisors (455251236).

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

220141020 is a wasteful number, since it uses less digits than its factorization.

220141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220141020 is about 14837.1499958718. The cubic root of 220141020 is about 603.8100326522.

Adding to 220141020 its reverse (20141022), we get a palindrome (240282042).

The spelling of 220141020 in words is "two hundred twenty million, one hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 281 330 562 660 843 1124 1187 1405 1686 2374 2810 3091 3372 3561 4215 4748 5620 5935 6182 7122 8430 9273 11870 12364 13057 14244 15455 16860 17805 18546 23740 26114 30910 35610 37092 39171 46365 52228 61820 65285 71220 78342 92730 130570 156684 185460 195855 261140 333547 391710 667094 783420 1000641 1334188 1667735 2001282 3335470 3669017 4002564 5003205 6670940 7338034 10006410 11007051 14676068 18345085 20012820 22014102 36690170 44028204 55035255 73380340 110070510 220141020