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2205104 = 241121767
BaseRepresentation
bin1000011010010110110000
311011000211112
420122112300
51031030404
6115132452
724512606
oct10322660
94130745
102205104
111276800
128a4128
135c28c5
14415876
152d856e
hex21a5b0

2205104 has 60 divisors (see below), whose sum is σ = 5046552. Its totient is φ = 929280.

The previous prime is 2205067. The next prime is 2205107. The reversal of 2205104 is 4015022.

It is not an unprimeable number, because it can be changed into a prime (2205107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32879 + ... + 32945.

22205104 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 2205104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523276).

2205104 is an abundant number, since it is smaller than the sum of its proper divisors (2841448).

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

2205104 is a wasteful number, since it uses less digits than its factorization.

2205104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2205104 is about 1484.9592587004. The cubic root of 2205104 is about 130.1596460760.

The spelling of 2205104 in words is "two million, two hundred five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 34 44 67 68 88 121 134 136 176 187 242 268 272 374 484 536 737 748 968 1072 1139 1474 1496 1936 2057 2278 2948 2992 4114 4556 5896 8107 8228 9112 11792 12529 16214 16456 18224 25058 32428 32912 50116 64856 100232 129712 137819 200464 275638 551276 1102552 2205104