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2296480 = 25531463
BaseRepresentation
bin1000110000101010100000
311022200011211
420300222200
51041441410
6121115504
725343164
oct10605240
94280154
102296480
11132941a
12928b94
13625384
1443aca4
1530568a
hex230aa0

2296480 has 48 divisors (see below), whose sum is σ = 5612544. Its totient is φ = 887040.

The previous prime is 2296447. The next prime is 2296487. The reversal of 2296480 is 846922.

It is a super-3 number, since 3×22964803 = 36333669150437376000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (2296487) 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 7 ways as a sum of consecutive naturals, for example, 4729 + ... + 5191.

It is an arithmetic number, because the mean of its divisors is an integer number (116928).

22296480 is an apocalyptic number.

2296480 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 2296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806272).

2296480 is an abundant number, since it is smaller than the sum of its proper divisors (3316064).

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

2296480 is a wasteful number, since it uses less digits than its factorization.

2296480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2296480 is about 1515.4141348160. The cubic root of 2296480 is about 131.9332383547.

The spelling of 2296480 in words is "two million, two hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 463 496 620 926 992 1240 1852 2315 2480 3704 4630 4960 7408 9260 14353 14816 18520 28706 37040 57412 71765 74080 114824 143530 229648 287060 459296 574120 1148240 2296480