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2193138 = 23237289
BaseRepresentation
bin1000010111011011110010
311010102102100
420113123302
51030140023
6115001230
724432663
oct10273362
94112370
102193138
111268812
12899216
135ba31c
1441136a
152d4c43
hex2176f2

2193138 has 36 divisors (see below), whose sum is σ = 4938570. Its totient is φ = 703296.

The previous prime is 2193137. The next prime is 2193167. The reversal of 2193138 is 8313912.

It can be written as a sum of positive squares in 3 ways, for example, as 2169729 + 23409 = 1473^2 + 153^2 .

It is not an unprimeable number, because it can be changed into a prime (2193137) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24598 + ... + 24686.

22193138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469285).

2193138 is an abundant number, since it is smaller than the sum of its proper divisors (2745432).

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

2193138 is a wasteful number, since it uses less digits than its factorization.

2193138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 131 counting only the distinct ones).

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

The square root of 2193138 is about 1480.9247111180. The cubic root of 2193138 is about 129.9237817524.

The spelling of 2193138 in words is "two million, one hundred ninety-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 89 111 178 222 267 333 534 666 801 1369 1602 2738 3293 4107 6586 8214 9879 12321 19758 24642 29637 59274 121841 243682 365523 731046 1096569 2193138