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2212120020 = 2235117147207
BaseRepresentation
bin1000001111011010…
…0100010111010100
312201011111100012010
42003312210113110
514012300320040
61003301224220
7105550465335
oct20366442724
95634440163
102212120020
11a35758570
12518a02070
132933b6176
1416db1428c
15ce312e80
hex83da45d4

2212120020 has 96 divisors (see below), whose sum is σ = 6852335616. Its totient is φ = 528707200.

The previous prime is 2212119983. The next prime is 2212120069. The reversal of 2212120020 is 200212122.

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 = 2212119978 and 2212120005.

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, 23257 + ... + 70463.

It is an arithmetic number, because the mean of its divisors is an integer number (71378496).

Almost surely, 22212120020 is an apocalyptic number.

2212120020 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 2212120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426167808).

2212120020 is an abundant number, since it is smaller than the sum of its proper divisors (4640215596).

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

2212120020 is a wasteful number, since it uses less digits than its factorization.

2212120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47301 (or 47299 counting only the distinct ones).

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

The square root of 2212120020 is about 47033.1799903005. The cubic root of 2212120020 is about 1302.9754370960.

Adding to 2212120020 its reverse (200212122), we get a palindrome (2412332142).

The spelling of 2212120020 in words is "two billion, two hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 660 710 781 852 1065 1420 1562 2130 2343 3124 3905 4260 4686 7810 9372 11715 15620 23430 46860 47207 94414 141621 188828 236035 283242 472070 519277 566484 708105 944140 1038554 1416210 1557831 2077108 2596385 2832420 3115662 3351697 5192770 6231324 6703394 7789155 10055091 10385540 13406788 15578310 16758485 20110182 31156620 33516970 36868667 40220364 50275455 67033940 73737334 100550910 110606001 147474668 184343335 201101820 221212002 368686670 442424004 553030005 737373340 1106060010 2212120020