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2245376 = 2872179
BaseRepresentation
bin1000100100001100000000
311020002002002
420210030000
51033323001
6120043132
725041200
oct10441400
94202062
102245376
1112a3a91
129034a8
13608033
14426400
152e546b
hex224300

2245376 has 54 divisors (see below), whose sum is σ = 5242860. Its totient is φ = 956928.

The previous prime is 2245357. The next prime is 2245379. The reversal of 2245376 is 6735422.

It is not an unprimeable number, because it can be changed into a prime (2245379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12455 + ... + 12633.

It is an arithmetic number, because the mean of its divisors is an integer number (97090).

22245376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621430).

2245376 is an abundant number, since it is smaller than the sum of its proper divisors (2997484).

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

2245376 is an equidigital number, since it uses as much as digits as its factorization.

2245376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 2245376 is about 1498.4578739491. The cubic root of 2245376 is about 130.9472429016.

The spelling of 2245376 in words is "two million, two hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 179 196 224 256 358 392 448 716 784 896 1253 1432 1568 1792 2506 2864 3136 5012 5728 6272 8771 10024 11456 12544 17542 20048 22912 35084 40096 45824 70168 80192 140336 160384 280672 320768 561344 1122688 2245376