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2198133 = 327233741
BaseRepresentation
bin1000011000101001110101
311010200021100
420120221311
51030320013
6115040313
724453360
oct10305165
94120240
102198133
111271543
128a0099
135bc692
144130d7
152d6473
hex218a75

2198133 has 48 divisors (see below), whose sum is σ = 3983616. Its totient is φ = 1140480.

The previous prime is 2198093. The next prime is 2198137. The reversal of 2198133 is 3318912.

It is not a de Polignac number, because 2198133 - 217 = 2067061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2198097 and 2198106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53593 + ... + 53633.

It is an arithmetic number, because the mean of its divisors is an integer number (82992).

22198133 is an apocalyptic number.

2198133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2198133 is a deficient number, since it is larger than the sum of its proper divisors (1785483).

2198133 is a wasteful number, since it uses less digits than its factorization.

2198133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 111 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2198133 is about 1482.6101982652. The cubic root of 2198133 is about 130.0223432996.

It can be divided in two parts, 2 and 198133, that added together give a triangular number (198135 = T629).

The spelling of 2198133 in words is "two million, one hundred ninety-eight thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 23 37 41 63 69 111 123 161 207 259 287 333 369 483 777 851 861 943 1449 1517 2331 2553 2583 2829 4551 5957 6601 7659 8487 10619 13653 17871 19803 31857 34891 53613 59409 95571 104673 244237 314019 732711 2198133