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2198140 = 225722243
BaseRepresentation
bin1000011000101001111100
311010200021121
420120221330
51030320030
6115040324
724453400
oct10305174
94120247
102198140
11127154a
128a00a4
135bc699
14413100
152d647a
hex218a7c

2198140 has 36 divisors (see below), whose sum is σ = 5372136. Its totient is φ = 753312.

The previous prime is 2198137. The next prime is 2198153. The reversal of 2198140 is 418912.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142 + ... + 2101.

It is an arithmetic number, because the mean of its divisors is an integer number (149226).

22198140 is an apocalyptic number.

2198140 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 2198140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686068).

2198140 is an abundant number, since it is smaller than the sum of its proper divisors (3173996).

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

2198140 is a wasteful number, since it uses less digits than its factorization.

2198140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 2198140 is about 1482.6125589647. The cubic root of 2198140 is about 130.0224813191.

It can be divided in two parts, 2198 and 140, that multiplied together give a triangular number (307720 = T784).

The spelling of 2198140 in words is "two million, one hundred ninety-eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2243 4486 8972 11215 15701 22430 31402 44860 62804 78505 109907 157010 219814 314020 439628 549535 1099070 2198140