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441212220 = 2232517236269
BaseRepresentation
bin11010010011000…
…101110100111100
31010202012220101100
4122103011310330
51400422242340
6111440413100
713635146001
oct3223056474
91122186340
10441212220
112070642a9
12103917190
1370540b27
14428518a8
1528b04830
hex1a4c5d3c

441212220 has 144 divisors (see below), whose sum is σ = 1478917440. Its totient is φ = 105904128.

The previous prime is 441212209. The next prime is 441212221. The reversal of 441212220 is 22212144.

441212220 is a `hidden beast` number, since 441 + 2 + 1 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 441212193 and 441212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441212221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67246 + ... + 73514.

It is an arithmetic number, because the mean of its divisors is an integer number (10270260).

Almost surely, 2441212220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739458720).

441212220 is an abundant number, since it is smaller than the sum of its proper divisors (1037705220).

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

441212220 is a wasteful number, since it uses less digits than its factorization.

441212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 441212220 is about 21005.0522493994. The cubic root of 441212220 is about 761.2883388037.

Adding to 441212220 its reverse (22212144), we get a palindrome (463424364).

The spelling of 441212220 in words is "four hundred forty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 414 460 510 612 690 765 782 828 1020 1035 1173 1380 1530 1564 1955 2070 2346 3060 3519 3910 4140 4692 5865 6269 7038 7820 11730 12538 14076 17595 18807 23460 25076 31345 35190 37614 56421 62690 70380 75228 94035 106573 112842 125380 144187 188070 213146 225684 282105 288374 319719 376140 426292 432561 532865 564210 576748 639438 720935 865122 959157 1065730 1128420 1278876 1297683 1441870 1598595 1730244 1918314 2131460 2162805 2451179 2595366 2883740 3197190 3836628 4325610 4795785 4902358 5190732 6394380 6488415 7353537 8651220 9591570 9804716 12255895 12976830 14707074 19183140 22060611 24511790 25953660 29414148 36767685 44121222 49023580 73535370 88242444 110303055 147070740 220606110 441212220