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2212104 = 233611511
BaseRepresentation
bin1000011100000100001000
311011101102210
420130010020
51031241404
6115225120
724542166
oct10340410
94141383
102212104
111280a94
128a81a0
135c5b4b
14418236
152da689
hex21c108

2212104 has 32 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 724800.

The previous prime is 2212099. The next prime is 2212123. The reversal of 2212104 is 4012122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2212104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 709 + ... + 2219.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

22212104 is an apocalyptic number.

2212104 is a gapful number since it is divisible by the number (24) 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 2212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2212104 is an abundant number, since it is smaller than the sum of its proper divisors (3412536).

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

2212104 is a wasteful number, since it uses less digits than its factorization.

2212104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2212104 is about 1487.3143581637. The cubic root of 2212104 is about 130.2972291740.

Adding to 2212104 its reverse (4012122), we get a palindrome (6224226).

The spelling of 2212104 in words is "two million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 1511 3022 4533 6044 9066 12088 18132 36264 92171 184342 276513 368684 553026 737368 1106052 2212104