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2198240 = 255111249
BaseRepresentation
bin1000011000101011100000
311010200102022
420120223200
51030320430
6115041012
724453602
oct10305340
94120368
102198240
111271630
128a0168
135bc745
14413172
152d64e5
hex218ae0

2198240 has 48 divisors (see below), whose sum is σ = 5670000. Its totient is φ = 798720.

The previous prime is 2198227. The next prime is 2198269. The reversal of 2198240 is 428912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1136 + ... + 2384.

It is an arithmetic number, because the mean of its divisors is an integer number (118125).

22198240 is an apocalyptic number.

2198240 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 2198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835000).

2198240 is an abundant number, since it is smaller than the sum of its proper divisors (3471760).

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

2198240 is a wasteful number, since it uses less digits than its factorization.

2198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2198240 is about 1482.6462828335. The cubic root of 2198240 is about 130.0244529938.

It can be divided in two parts, 21982 and 40, that added together give a palindrome (22022).

The spelling of 2198240 in words is "two million, one hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1249 1760 2498 4996 6245 9992 12490 13739 19984 24980 27478 39968 49960 54956 68695 99920 109912 137390 199840 219824 274780 439648 549560 1099120 2198240