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2230368 = 25373319
BaseRepresentation
bin1000100000100001100000
311012022111020
420200201200
51032332433
6115445440
724646350
oct10404140
94168436
102230368
111293788
128b6880
1360125a
14420b60
152e0cb3
hex220860

2230368 has 48 divisors (see below), whose sum is σ = 6693120. Its totient is φ = 637056.

The previous prime is 2230351. The next prime is 2230409. The reversal of 2230368 is 8630322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 211 + 217 + 32 + 0 + 34 + 6 + 87 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 988 + ... + 2331.

It is an arithmetic number, because the mean of its divisors is an integer number (139440).

22230368 is an apocalyptic number.

2230368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2230368 is an abundant number, since it is smaller than the sum of its proper divisors (4462752).

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

2230368 is a wasteful number, since it uses less digits than its factorization.

2230368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2230368 is about 1493.4416627375. The cubic root of 2230368 is about 130.6548418195.

The spelling of 2230368 in words is "two million, two hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3319 6638 9957 13276 19914 23233 26552 39828 46466 53104 69699 79656 92932 106208 139398 159312 185864 278796 318624 371728 557592 743456 1115184 2230368