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2145204 = 22352207
BaseRepresentation
bin1000001011101110110100
311000222200000
420023232310
51022121304
6113551300
724143145
oct10135664
94028600
102145204
1112357a6
12875530
135a1569
143dbacc
152c5939
hex20bbb4

2145204 has 36 divisors (see below), whose sum is σ = 5625984. Its totient is φ = 714744.

The previous prime is 2145197. The next prime is 2145239. The reversal of 2145204 is 4025412.

2145204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 132 + ... + 2075.

22145204 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 2145204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812992).

2145204 is an abundant number, since it is smaller than the sum of its proper divisors (3480780).

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

2145204 is a wasteful number, since it uses less digits than its factorization.

2145204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2145204 is about 1464.6514943836. The cubic root of 2145204 is about 128.9702473298.

It can be divided in two parts, 2145 and 204, that multiplied together give a triangular number (437580 = T935).

The spelling of 2145204 in words is "two million, one hundred forty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2207 4414 6621 8828 13242 19863 26484 39726 59589 79452 119178 178767 238356 357534 536301 715068 1072602 2145204