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2298120 = 2335111741
BaseRepresentation
bin1000110001000100001000
311022202102120
420301010020
51042014440
6121131240
725351026
oct10610410
94282376
102298120
11132a680
12929b20
13626046
1443b716
15305dd0
hex231108

2298120 has 64 divisors (see below), whose sum is σ = 7525440. Its totient is φ = 556800.

The previous prime is 2298119. The next prime is 2298139. The reversal of 2298120 is 218922.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450 + ... + 2190.

It is an arithmetic number, because the mean of its divisors is an integer number (117585).

22298120 is an apocalyptic number.

2298120 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 2298120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762720).

2298120 is an abundant number, since it is smaller than the sum of its proper divisors (5227320).

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

2298120 is a wasteful number, since it uses less digits than its factorization.

2298120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2298120 is about 1515.9551444551. The cubic root of 2298120 is about 131.9646369917.

The spelling of 2298120 in words is "two million, two hundred ninety-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1741 3482 5223 6964 8705 10446 13928 17410 19151 20892 26115 34820 38302 41784 52230 57453 69640 76604 95755 104460 114906 153208 191510 208920 229812 287265 383020 459624 574530 766040 1149060 2298120