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2198940 = 223567547
BaseRepresentation
bin1000011000110110011100
311010201101020
420120312130
51030331230
6115044140
724455622
oct10306634
94121336
102198940
111272107
128a0650
135bcb63
14413512
152d6810
hex218d9c

2198940 has 48 divisors (see below), whose sum is σ = 6260352. Its totient is φ = 576576.

The previous prime is 2198909. The next prime is 2198981. The reversal of 2198940 is 498912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3747 + ... + 4293.

It is an arithmetic number, because the mean of its divisors is an integer number (130424).

22198940 is an apocalyptic number.

2198940 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 2198940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130176).

2198940 is an abundant number, since it is smaller than the sum of its proper divisors (4061412).

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

2198940 is a wasteful number, since it uses less digits than its factorization.

2198940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2198940 is about 1482.8823284401. The cubic root of 2198940 is about 130.0382530426.

The spelling of 2198940 in words is "two million, one hundred ninety-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 547 670 804 1005 1094 1340 1641 2010 2188 2735 3282 4020 5470 6564 8205 10940 16410 32820 36649 73298 109947 146596 183245 219894 366490 439788 549735 732980 1099470 2198940