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2205372 = 2231367211
BaseRepresentation
bin1000011010011010111100
311011001012110
420122122330
51031032442
6115134020
724513441
oct10323274
94131173
102205372
111276a24
128a4310
135c2a70
144159c8
152d869c
hex21a6bc

2205372 has 48 divisors (see below), whose sum is σ = 5651072. Its totient is φ = 665280.

The previous prime is 2205353. The next prime is 2205373. The reversal of 2205372 is 2735022.

2205372 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10347 + ... + 10557.

22205372 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 2205372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825536).

2205372 is an abundant number, since it is smaller than the sum of its proper divisors (3445700).

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

2205372 is a wasteful number, since it uses less digits than its factorization.

2205372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2205372 is about 1485.0494941247. The cubic root of 2205372 is about 130.1649188994.

The spelling of 2205372 in words is "two million, two hundred five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 211 268 402 422 633 804 844 871 1266 1742 2532 2613 2743 3484 5226 5486 8229 10452 10972 14137 16458 28274 32916 42411 56548 84822 169644 183781 367562 551343 735124 1102686 2205372