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220012020 = 2232519232797
BaseRepresentation
bin11010001110100…
…01110111110100
3120022222202202100
431013101313310
5422310341040
633455342100
75311033314
oct1507216764
9508882670
10220012020
11103211318
1261821930
1336773037
1421311444
15144adb30
hexd1d1df4

220012020 has 144 divisors (see below), whose sum is σ = 733299840. Its totient is φ = 53146368.

The previous prime is 220012007. The next prime is 220012049. The reversal of 220012020 is 20210022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220011993 and 220012011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77262 + ... + 80058.

It is an arithmetic number, because the mean of its divisors is an integer number (5092360).

Almost surely, 2220012020 is an apocalyptic number.

220012020 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 220012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366649920).

220012020 is an abundant number, since it is smaller than the sum of its proper divisors (513287820).

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

220012020 is a wasteful number, since it uses less digits than its factorization.

220012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 220012020 is about 14832.8021627742. The cubic root of 220012020 is about 603.6920677924.

Adding to 220012020 its reverse (20210022), we get a palindrome (240222042).

The spelling of 220012020 in words is "two hundred twenty million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 76 90 92 95 114 115 138 171 180 190 207 228 230 276 285 342 345 380 414 437 460 570 684 690 828 855 874 1035 1140 1311 1380 1710 1748 2070 2185 2622 2797 3420 3933 4140 4370 5244 5594 6555 7866 8391 8740 11188 13110 13985 15732 16782 19665 25173 26220 27970 33564 39330 41955 50346 53143 55940 64331 78660 83910 100692 106286 125865 128662 159429 167820 192993 212572 251730 257324 265715 318858 321655 385986 478287 503460 531430 578979 637716 643310 771972 797145 956574 964965 1062860 1157958 1222289 1286620 1594290 1913148 1929930 2315916 2391435 2444578 2894895 3188580 3666867 3859860 4782870 4889156 5789790 6111445 7333734 9565740 11000601 11579580 12222890 14667468 18334335 22001202 24445780 36668670 44002404 55003005 73337340 110006010 220012020