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16226560 = 28571811
BaseRepresentation
bin111101111001…
…100100000000
31010112101122201
4331321210000
513123222220
61335442544
7254631520
oct75714400
933471581
1016226560
119183289
125526454
133491a1c
142225680
151657d0a
hexf79900

16226560 has 72 divisors (see below), whose sum is σ = 44444736. Its totient is φ = 5560320.

The previous prime is 16226543. The next prime is 16226563. The reversal of 16226560 is 6562261.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (16226563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8055 + ... + 9865.

It is an arithmetic number, because the mean of its divisors is an integer number (617288).

Almost surely, 216226560 is an apocalyptic number.

16226560 is a gapful number since it is divisible by the number (10) 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 16226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22222368).

16226560 is an abundant number, since it is smaller than the sum of its proper divisors (28218176).

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

16226560 is an equidigital number, since it uses as much as digits as its factorization.

16226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 16226560 is about 4028.2204507698. The cubic root of 16226560 is about 253.1680053944.

It can be divided in two parts, 16 and 226560, that added together give a square (226576 = 4762).

The spelling of 16226560 in words is "sixteen million, two hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 1811 2240 3622 4480 7244 8960 9055 12677 14488 18110 25354 28976 36220 50708 57952 63385 72440 101416 115904 126770 144880 202832 231808 253540 289760 405664 463616 507080 579520 811328 1014160 1159040 1622656 2028320 2318080 3245312 4056640 8113280 16226560