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2117192 = 237211491
BaseRepresentation
bin1000000100111001001000
310222120020112
420010321020
51020222232
6113213452
723665400
oct10047110
93876215
102117192
111216750
12861288
1359189c
143d1800
152bc4b2
hex204e48

2117192 has 48 divisors (see below), whose sum is σ = 5047920. Its totient is φ = 823200.

The previous prime is 2117179. The next prime is 2117233. The reversal of 2117192 is 2917112.

It is an unprimeable number.

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, 4067 + ... + 4557.

It is an arithmetic number, because the mean of its divisors is an integer number (105165).

22117192 is an apocalyptic number.

2117192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523960).

2117192 is an abundant number, since it is smaller than the sum of its proper divisors (2930728).

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

2117192 is a wasteful number, since it uses less digits than its factorization.

2117192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 511 counting only the distinct ones).

The product of its digits is 252, while the sum is 23.

The square root of 2117192 is about 1455.0573871844. The cubic root of 2117192 is about 128.4064230118.

The spelling of 2117192 in words is "two million, one hundred seventeen thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 491 539 616 982 1078 1964 2156 3437 3928 4312 5401 6874 10802 13748 21604 24059 27496 37807 43208 48118 75614 96236 151228 192472 264649 302456 529298 1058596 2117192