Search a number
-
+
2198412 = 223279773
BaseRepresentation
bin1000011000101110001100
311010200122200
420120232030
51030322122
6115041500
724454236
oct10305614
94120580
102198412
111271777
128a0290
135bc848
14413256
152d65ac
hex218b8c

2198412 has 36 divisors (see below), whose sum is σ = 5634720. Its totient is φ = 722592.

The previous prime is 2198411. The next prime is 2198419. The reversal of 2198412 is 2148912.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2198411) 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, 2458 + ... + 3230.

It is an arithmetic number, because the mean of its divisors is an integer number (156520).

22198412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817360).

2198412 is an abundant number, since it is smaller than the sum of its proper divisors (3436308).

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

2198412 is a wasteful number, since it uses less digits than its factorization.

2198412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 857 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2198412 is about 1482.7042860935. The cubic root of 2198412 is about 130.0278441344.

The spelling of 2198412 in words is "two million, one hundred ninety-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 773 948 1422 1546 2319 2844 3092 4638 6957 9276 13914 27828 61067 122134 183201 244268 366402 549603 732804 1099206 2198412