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220118940 = 223251279629
BaseRepresentation
bin11010001111010…
…11111110011100
3120100012012102100
431013223332130
5422322301230
633501525100
75311660116
oct1507537634
9510165370
10220118940
11103284688
1261873790
13367ac8c2
142133c3b6
15144d0660
hexd1ebf9c

220118940 has 72 divisors (see below), whose sum is σ = 673021440. Its totient is φ = 58230144.

The previous prime is 220118929. The next prime is 220118953. The reversal of 220118940 is 49811022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18046 + ... + 27674.

It is an arithmetic number, because the mean of its divisors is an integer number (9347520).

Almost surely, 2220118940 is an apocalyptic number.

220118940 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 220118940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336510720).

220118940 is an abundant number, since it is smaller than the sum of its proper divisors (452902500).

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

220118940 is a wasteful number, since it uses less digits than its factorization.

220118940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9771 (or 9766 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 220118940 is about 14836.4058990040. The cubic root of 220118940 is about 603.7898447271.

Adding to 220118940 its reverse (49811022), we get a palindrome (269929962).

The spelling of 220118940 in words is "two hundred twenty million, one hundred eighteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 9629 11430 19258 22860 28887 38516 48145 57774 86661 96290 115548 144435 173322 192580 288870 346644 433305 577740 866610 1222883 1733220 2445766 3668649 4891532 6114415 7337298 11005947 12228830 14674596 18343245 22011894 24457660 36686490 44023788 55029735 73372980 110059470 220118940