Search a number
-
+
2198250 = 23253977
BaseRepresentation
bin1000011000101011101010
311010200102200
420120223222
51030321000
6115041030
724453615
oct10305352
94120380
102198250
11127163a
128a0176
135bc752
1441317c
152d6500
hex218aea

2198250 has 48 divisors (see below), whose sum is σ = 5950152. Its totient is φ = 585600.

The previous prime is 2198227. The next prime is 2198269. The reversal of 2198250 is 528912.

It can be written as a sum of positive squares in 4 ways, for example, as 1212201 + 986049 = 1101^2 + 993^2 .

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, 1762 + ... + 2738.

22198250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975076).

2198250 is an abundant number, since it is smaller than the sum of its proper divisors (3751902).

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

2198250 is a wasteful number, since it uses less digits than its factorization.

2198250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2198250 is about 1482.6496551782. The cubic root of 2198250 is about 130.0246501580.

The spelling of 2198250 in words is "two million, one hundred ninety-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 977 1125 1954 2250 2931 4885 5862 8793 9770 14655 17586 24425 29310 43965 48850 73275 87930 122125 146550 219825 244250 366375 439650 732750 1099125 2198250