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220023408 = 243111313181
BaseRepresentation
bin11010001110101…
…00101001110000
3120100000100101010
431013110221300
5422311222113
633455510520
75311111443
oct1507245160
9510010333
10220023408
11103219930
1261828440
1336778287
142131565a
15144b21c3
hexd1d4a70

220023408 has 80 divisors (see below), whose sum is σ = 624995712. Its totient is φ = 66144000.

The previous prime is 220023379. The next prime is 220023409. The reversal of 220023408 is 804320022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220023409) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67578 + ... + 70758.

Almost surely, 2220023408 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 220023408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312497856).

220023408 is an abundant number, since it is smaller than the sum of its proper divisors (404972304).

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

220023408 is a wasteful number, since it uses less digits than its factorization.

220023408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 220023408 is about 14833.1860367218. The cubic root of 220023408 is about 603.7024834759.

The spelling of 220023408 in words is "two hundred twenty million, twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 131 132 176 262 264 393 524 528 786 1048 1441 1572 2096 2882 3144 3181 4323 5764 6288 6362 8646 9543 11528 12724 17292 19086 23056 25448 34584 34991 38172 50896 69168 69982 76344 104973 139964 152688 209946 279928 416711 419892 559856 833422 839784 1250133 1666844 1679568 2500266 3333688 4583821 5000532 6667376 9167642 10001064 13751463 18335284 20002128 27502926 36670568 55005852 73341136 110011704 220023408