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2198385 = 32572997
BaseRepresentation
bin1000011000101101110001
311010200121200
420120231301
51030322020
6115041413
724454200
oct10305561
94120550
102198385
111271752
128a0269
135bc827
14413237
152d6590
hex218b71

2198385 has 36 divisors (see below), whose sum is σ = 4437108. Its totient is φ = 1003968.

The previous prime is 2198377. The next prime is 2198401. The reversal of 2198385 is 5838912.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 815409 = 1176^2 + 903^2 .

It is not a de Polignac number, because 2198385 - 23 = 2198377 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1707 + ... + 2703.

It is an arithmetic number, because the mean of its divisors is an integer number (123253).

22198385 is an apocalyptic number.

It is an amenable number.

2198385 is an abundant number, since it is smaller than the sum of its proper divisors (2238723).

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

2198385 is a wasteful number, since it uses less digits than its factorization.

2198385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1012 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 2198385 is about 1482.6951810807. The cubic root of 2198385 is about 130.0273118159.

The spelling of 2198385 in words is "two million, one hundred ninety-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 997 2205 2991 4985 6979 8973 14955 20937 34895 44865 48853 62811 104685 146559 244265 314055 439677 732795 2198385