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2236480 = 26529241
BaseRepresentation
bin1000100010000001000000
311012121212121
420202001000
51033031410
6115534024
725003231
oct10420100
94177777
102236480
111298334
128ba314
13603c7c
14423088
152e29da
hex222040

2236480 has 56 divisors (see below), whose sum is σ = 5532120. Its totient is φ = 860160.

The previous prime is 2236477. The next prime is 2236483. The reversal of 2236480 is 846322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2236477) and next prime (2236483).

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 1784896 = 672^2 + 1336^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2236483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9160 + ... + 9400.

22236480 is an apocalyptic number.

2236480 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 2236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766060).

2236480 is an abundant number, since it is smaller than the sum of its proper divisors (3295640).

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

2236480 is a wasteful number, since it uses less digits than its factorization.

2236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2236480 is about 1495.4865429017. The cubic root of 2236480 is about 130.7740798486.

The spelling of 2236480 in words is "two million, two hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 241 290 320 464 482 580 928 964 1160 1205 1856 1928 2320 2410 3856 4640 4820 6989 7712 9280 9640 13978 15424 19280 27956 34945 38560 55912 69890 77120 111824 139780 223648 279560 447296 559120 1118240 2236480