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220015020 = 223517415261
BaseRepresentation
bin11010001110100…
…10100110101100
3120022222220212110
431013102212230
5422310440040
633455404020
75311045131
oct1507224654
9508886773
10220015020
111032135a5
1261823610
1336774504
1421312588
15144ae980
hexd1d29ac

220015020 has 96 divisors (see below), whose sum is σ = 668316096. Its totient is φ = 53862400.

The previous prime is 220015007. The next prime is 220015043. The reversal of 220015020 is 20510022.

220015020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 220014987 and 220015005.

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, 39190 + ... + 44450.

It is an arithmetic number, because the mean of its divisors is an integer number (6961626).

Almost surely, 2220015020 is an apocalyptic number.

220015020 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 220015020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334158048).

220015020 is an abundant number, since it is smaller than the sum of its proper divisors (448301076).

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

220015020 is a wasteful number, since it uses less digits than its factorization.

220015020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5331 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 220015020 is about 14832.9032896463. The cubic root of 220015020 is about 603.6948116849.

Adding to 220015020 its reverse (20510022), we get a palindrome (240525042).

The spelling of 220015020 in words is "two hundred twenty million, fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 68 82 85 102 123 164 170 204 205 246 255 340 410 492 510 615 697 820 1020 1230 1394 2091 2460 2788 3485 4182 5261 6970 8364 10455 10522 13940 15783 20910 21044 26305 31566 41820 52610 63132 78915 89437 105220 157830 178874 215701 268311 315660 357748 431402 447185 536622 647103 862804 894370 1073244 1078505 1294206 1341555 1788740 2157010 2588412 2683110 3235515 3666917 4314020 5366220 6471030 7333834 11000751 12942060 14667668 18334585 22001502 36669170 44003004 55003755 73338340 110007510 220015020