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2002144 = 25193789
BaseRepresentation
bin111101000110011100000
310202201102111
413220303200
51003032034
6110525104
723006104
oct7506340
93681374
102002144
111148271
12806794
13551401
143a1904
15298364
hex1e8ce0

2002144 has 48 divisors (see below), whose sum is σ = 4309200. Its totient is φ = 912384.

The previous prime is 2002093. The next prime is 2002151. The reversal of 2002144 is 4412002.

It is an Ulam number.

It is a congruent number.

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, 22452 + ... + 22540.

It is an arithmetic number, because the mean of its divisors is an integer number (89775).

22002144 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 2002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154600).

2002144 is an abundant number, since it is smaller than the sum of its proper divisors (2307056).

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

2002144 is a wasteful number, since it uses less digits than its factorization.

2002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2002144 is about 1414.9713778024. The cubic root of 2002144 is about 126.0371100903.

Adding to 2002144 its reverse (4412002), we get a palindrome (6414146).

The spelling of 2002144 in words is "two million, two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 89 148 152 178 296 304 356 592 608 703 712 1184 1406 1424 1691 2812 2848 3293 3382 5624 6586 6764 11248 13172 13528 22496 26344 27056 52688 54112 62567 105376 125134 250268 500536 1001072 2002144