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2212220200 = 2352171733761
BaseRepresentation
bin1000001111011011…
…1100110100101000
312201011200102121111
42003312330310220
514012312021300
61003303320104
7105551363401
oct20366746450
95634612544
102212220200
11a35816863
12518a50034
1329341c948
1416db3c9a8
15ce3329ba
hex83dbcd28

2212220200 has 96 divisors (see below), whose sum is σ = 5478901560. Its totient is φ = 827801600.

The previous prime is 2212220147. The next prime is 2212220237. The reversal of 2212220200 is 20222122.

2212220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 728892004 + 1483328196 = 26998^2 + 38514^2 .

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, 586320 + ... + 590080.

Almost surely, 22212220200 is an apocalyptic number.

2212220200 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 2212220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739450780).

2212220200 is an abundant number, since it is smaller than the sum of its proper divisors (3266681360).

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

2212220200 is a wasteful number, since it uses less digits than its factorization.

2212220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2212220200 is about 47034.2449710846. The cubic root of 2212220200 is about 1302.9951060271.

Adding to 2212220200 its reverse (20222122), we get a palindrome (2232442322).

The spelling of 2212220200 in words is "two billion, two hundred twelve million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 173 200 340 346 425 680 692 850 865 1384 1700 1730 2941 3400 3460 3761 4325 5882 6920 7522 8650 11764 14705 15044 17300 18805 23528 29410 30088 34600 37610 58820 63937 73525 75220 94025 117640 127874 147050 150440 188050 255748 294100 319685 376100 511496 588200 639370 650653 752200 1278740 1301306 1598425 2557480 2602612 3196850 3253265 5205224 6393700 6506530 11061101 12787400 13013060 16266325 22122202 26026120 32532650 44244404 55305505 65065300 88488808 110611010 130130600 221222020 276527525 442444040 553055050 1106110100 2212220200