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2216934 = 2322931137
BaseRepresentation
bin1000011101001111100110
311011122001200
420131033212
51031420214
6115303330
724562236
oct10351746
94148050
102216934
111284685
128aab46
135c80c5
14419cc6
152dbd09
hex21d3e6

2216934 has 48 divisors (see below), whose sum is σ = 5166720. Its totient is φ = 685440.

The previous prime is 2216917. The next prime is 2216941. The reversal of 2216934 is 4396122.

2216934 = T107 + T108 + ... + T243.

It is a junction number, because it is equal to n+sod(n) for n = 2216898 and 2216907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16114 + ... + 16250.

It is an arithmetic number, because the mean of its divisors is an integer number (107640).

22216934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583360).

2216934 is an abundant number, since it is smaller than the sum of its proper divisors (2949786).

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

2216934 is a wasteful number, since it uses less digits than its factorization.

2216934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 202 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2216934 is about 1488.9372048545. The cubic root of 2216934 is about 130.3919923696.

The spelling of 2216934 in words is "two million, two hundred sixteen thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 137 174 186 261 274 279 411 522 558 822 899 1233 1798 2466 2697 3973 4247 5394 7946 8091 8494 11919 12741 16182 23838 25482 35757 38223 71514 76446 123163 246326 369489 738978 1108467 2216934