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2298000 = 24353383
BaseRepresentation
bin1000110001000010010000
311022202021010
420301002100
51042014000
6121130520
725350465
oct10610220
94282233
102298000
11132a581
12929a40
13625c83
1443b66c
15305d50
hex231090

2298000 has 80 divisors (see below), whose sum is σ = 7428096. Its totient is φ = 611200.

The previous prime is 2297987. The next prime is 2298007. The reversal of 2298000 is 8922.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2298007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5809 + ... + 6191.

22298000 is an apocalyptic number.

2298000 is a gapful number since it is divisible by the number (20) 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 2298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714048).

2298000 is an abundant number, since it is smaller than the sum of its proper divisors (5130096).

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

2298000 is a wasteful number, since it uses less digits than its factorization.

2298000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2298000 is about 1515.9155649310. The cubic root of 2298000 is about 131.9623400371.

The spelling of 2298000 in words is "two million, two hundred ninety-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 383 400 500 600 750 766 1000 1149 1200 1500 1532 1915 2000 2298 3000 3064 3830 4596 5745 6000 6128 7660 9192 9575 11490 15320 18384 19150 22980 28725 30640 38300 45960 47875 57450 76600 91920 95750 114900 143625 153200 191500 229800 287250 383000 459600 574500 766000 1149000 2298000