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2118172 = 2272101107
BaseRepresentation
bin1000000101001000011100
310222121120211
420011020130
51020240142
6113222204
724001300
oct10051034
93877524
102118172
111217461
12861964
13592174
143d1d00
152bc917
hex20521c

2118172 has 36 divisors (see below), whose sum is σ = 4395384. Its totient is φ = 890400.

The previous prime is 2118169. The next prime is 2118173. The reversal of 2118172 is 2718112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19743 + ... + 19849.

It is an arithmetic number, because the mean of its divisors is an integer number (122094).

22118172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2118172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197692).

2118172 is an abundant number, since it is smaller than the sum of its proper divisors (2277212).

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

2118172 is a wasteful number, since it uses less digits than its factorization.

2118172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its digits is 224, while the sum is 22.

The square root of 2118172 is about 1455.3941047015. The cubic root of 2118172 is about 128.4262320928.

The spelling of 2118172 in words is "two million, one hundred eighteen thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 101 107 196 202 214 404 428 707 749 1414 1498 2828 2996 4949 5243 9898 10486 10807 19796 20972 21614 43228 75649 151298 302596 529543 1059086 2118172