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2198120 = 235179307
BaseRepresentation
bin1000011000101001101000
311010200020212
420120221220
51030314440
6115040252
724453341
oct10305150
94120225
102198120
111271531
128a0088
135bc682
144130c8
152d6465
hex218a68

2198120 has 32 divisors (see below), whose sum is σ = 4989600. Its totient is φ = 871488.

The previous prime is 2198093. The next prime is 2198137. The reversal of 2198120 is 218912.

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, 7007 + ... + 7313.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

22198120 is an apocalyptic number.

2198120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2198120 is an abundant number, since it is smaller than the sum of its proper divisors (2791480).

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

2198120 is a wasteful number, since it uses less digits than its factorization.

2198120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 2198120 is about 1482.6058140989. The cubic root of 2198120 is about 130.0220869770.

The spelling of 2198120 in words is "two million, one hundred ninety-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 179 307 358 614 716 895 1228 1432 1535 1790 2456 3070 3580 6140 7160 12280 54953 109906 219812 274765 439624 549530 1099060 2198120