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2198900 = 2252111999
BaseRepresentation
bin1000011000110101110100
311010201022202
420120311310
51030331100
6115044032
724455534
oct10306564
94121282
102198900
111272080
128a0618
135bcb32
144134c4
152d67d5
hex218d74

2198900 has 36 divisors (see below), whose sum is σ = 5208000. Its totient is φ = 799200.

The previous prime is 2198897. The next prime is 2198909. The reversal of 2198900 is 98912.

It is a super-2 number, since 2×21989002 = 9670322420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101 + ... + 2099.

22198900 is an apocalyptic number.

2198900 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 2198900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604000).

2198900 is an abundant number, since it is smaller than the sum of its proper divisors (3009100).

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

2198900 is a wasteful number, since it uses less digits than its factorization.

2198900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 2198900 is about 1482.8688411319. The cubic root of 2198900 is about 130.0374645473.

It can be divided in two parts, 219 and 8900, that added together give a palindrome (9119).

The spelling of 2198900 in words is "two million, one hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1999 3998 7996 9995 19990 21989 39980 43978 49975 87956 99950 109945 199900 219890 439780 549725 1099450 2198900