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220748472 = 23327479319
BaseRepresentation
bin11010010100001…
…01101010111000
3120101101011222100
431022011222320
5423002422342
633523223400
75320221360
oct1512055270
9511334870
10220748472
1110367465a
1261b17b60
13369702c9
14214639a0
15145a6e4c
hexd285ab8

220748472 has 96 divisors (see below), whose sum is σ = 697881600. Its totient is φ = 61722432.

The previous prime is 220748453. The next prime is 220748491. The reversal of 220748472 is 274847022.

It is an interprime number because it is at equal distance from previous prime (220748453) and next prime (220748491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19029 + ... + 28347.

It is an arithmetic number, because the mean of its divisors is an integer number (7269600).

Almost surely, 2220748472 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 220748472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348940800).

220748472 is an abundant number, since it is smaller than the sum of its proper divisors (477133128).

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

220748472 is a wasteful number, since it uses less digits than its factorization.

220748472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9385 (or 9378 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 220748472 is about 14857.6065367205. The cubic root of 220748472 is about 604.3649023771.

The spelling of 220748472 in words is "two hundred twenty million, seven hundred forty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1974 2632 2961 3384 3948 5922 7896 9319 11844 18638 23688 27957 37276 55914 65233 74552 83871 111828 130466 167742 195699 223656 260932 335484 391398 437993 521864 587097 670968 782796 875986 1174194 1313979 1565592 1751972 2348388 2627958 3065951 3503944 3941937 4696776 5255916 6131902 7883874 9197853 10511832 12263804 15767748 18395706 24527608 27593559 31535496 36791412 55187118 73582824 110374236 220748472