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2249480 = 23556237
BaseRepresentation
bin1000100101001100001000
311020021201002
420211030020
51033440410
6120114132
725056152
oct10451410
94207632
102249480
1112a7082
12905948
13609b6c
14427ad2
152e67a5
hex225308

2249480 has 16 divisors (see below), whose sum is σ = 5061420. Its totient is φ = 899776.

The previous prime is 2249477. The next prime is 2249483. The reversal of 2249480 is 849422.

It is an interprime number because it is at equal distance from previous prime (2249477) and next prime (2249483).

It can be written as a sum of positive squares in 2 ways, for example, as 2244004 + 5476 = 1498^2 + 74^2 .

It is not an unprimeable number, because it can be changed into a prime (2249483) 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 3 ways as a sum of consecutive naturals, for example, 28079 + ... + 28158.

22249480 is an apocalyptic number.

2249480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2249480 is an abundant number, since it is smaller than the sum of its proper divisors (2811940).

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

2249480 is a wasteful number, since it uses less digits than its factorization.

2249480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56248 (or 56244 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2249480 is about 1499.8266566507. The cubic root of 2249480 is about 131.0269742251.

The spelling of 2249480 in words is "two million, two hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 56237 112474 224948 281185 449896 562370 1124740 2249480