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2124200 = 2352131943
BaseRepresentation
bin1000000110100110101000
310222220212002
420012212220
51020433300
6113310132
724025001
oct10064650
93886762
102124200
111220a41
12865348
13594b30
143d41a8
152be5d5
hex2069a8

2124200 has 96 divisors (see below), whose sum is σ = 5728800. Its totient is φ = 725760.

The previous prime is 2124197. The next prime is 2124223. The reversal of 2124200 is 24212.

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, 49379 + ... + 49421.

It is an arithmetic number, because the mean of its divisors is an integer number (59675).

22124200 is an apocalyptic number.

2124200 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 2124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864400).

2124200 is an abundant number, since it is smaller than the sum of its proper divisors (3604600).

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

2124200 is a wasteful number, since it uses less digits than its factorization.

2124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2124200 is about 1457.4635501446. The cubic root of 2124200 is about 128.5479439763.

Adding to 2124200 its reverse (24212), we get a palindrome (2148412).

The spelling of 2124200 in words is "two million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 43 50 52 65 76 86 95 100 104 130 152 172 190 200 215 247 260 325 344 380 430 475 494 520 559 650 760 817 860 950 988 1075 1118 1235 1300 1634 1720 1900 1976 2150 2236 2470 2600 2795 3268 3800 4085 4300 4472 4940 5590 6175 6536 8170 8600 9880 10621 11180 12350 13975 16340 20425 21242 22360 24700 27950 32680 40850 42484 49400 53105 55900 81700 84968 106210 111800 163400 212420 265525 424840 531050 1062100 2124200