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2299140 = 2232553241
BaseRepresentation
bin1000110001010100000100
311022210211100
420301110010
51042033030
6121140100
725354014
oct10612404
94283740
102299140
111330418
1292a630
1362664c
1443bc44
15306360
hex231504

2299140 has 72 divisors (see below), whose sum is σ = 7135128. Its totient is φ = 599040.

The previous prime is 2299139. The next prime is 2299147. The reversal of 2299140 is 419922.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 1633284 = 816^2 + 1278^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2299147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9420 + ... + 9660.

It is an arithmetic number, because the mean of its divisors is an integer number (99099).

22299140 is an apocalyptic number.

2299140 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 2299140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567564).

2299140 is an abundant number, since it is smaller than the sum of its proper divisors (4835988).

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

2299140 is a wasteful number, since it uses less digits than its factorization.

2299140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2299140 is about 1516.2915286976. The cubic root of 2299140 is about 131.9841578784.

The spelling of 2299140 in words is "two million, two hundred ninety-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 241 265 318 477 482 530 636 723 795 954 964 1060 1205 1446 1590 1908 2169 2385 2410 2892 3180 3615 4338 4770 4820 7230 8676 9540 10845 12773 14460 21690 25546 38319 43380 51092 63865 76638 114957 127730 153276 191595 229914 255460 383190 459828 574785 766380 1149570 2299140