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2122200 = 233452131
BaseRepresentation
bin1000000110000111011000
310222211010000
420012013120
51020402300
6113253000
724016113
oct10060730
93884100
102122200
11121a493
12864160
13593c52
143d357a
152bdc00
hex2061d8

2122200 has 120 divisors (see below), whose sum is σ = 7426980. Its totient is φ = 561600.

The previous prime is 2122193. The next prime is 2122213. The reversal of 2122200 is 22212.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16135 + ... + 16265.

22122200 is an apocalyptic number.

2122200 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 2122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713490).

2122200 is an abundant number, since it is smaller than the sum of its proper divisors (5304780).

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

2122200 is a wasteful number, since it uses less digits than its factorization.

2122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

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

The square root of 2122200 is about 1456.7772650615. Note that the first 3 decimals coincide. The cubic root of 2122200 is about 128.5075873530.

Adding to 2122200 its reverse (22212), we get a palindrome (2144412).

The spelling of 2122200 in words is "two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 131 135 150 162 180 200 216 225 262 270 300 324 360 393 405 450 524 540 600 648 655 675 786 810 900 1048 1080 1179 1310 1350 1572 1620 1800 1965 2025 2358 2620 2700 3144 3240 3275 3537 3930 4050 4716 5240 5400 5895 6550 7074 7860 8100 9432 9825 10611 11790 13100 14148 15720 16200 17685 19650 21222 23580 26200 28296 29475 35370 39300 42444 47160 53055 58950 70740 78600 84888 88425 106110 117900 141480 176850 212220 235800 265275 353700 424440 530550 707400 1061100 2122200