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220227072 = 2931341269
BaseRepresentation
bin11010010000001…
…10011000000000
3120100101200202020
431020012120000
5422334231242
633504121440
75312620302
oct1510063000
9510350666
10220227072
1110334894a
1261906280
1336819ba0
1421369972
15145026ec
hexd206600

220227072 has 160 divisors (see below), whose sum is σ = 649645920. Its totient is φ = 65863680.

The previous prime is 220227067. The next prime is 220227083. The reversal of 220227072 is 270722022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818554 + ... + 818822.

It is an arithmetic number, because the mean of its divisors is an integer number (4060287).

Almost surely, 2220227072 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 220227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324822960).

220227072 is an abundant number, since it is smaller than the sum of its proper divisors (429418848).

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

220227072 is a wasteful number, since it uses less digits than its factorization.

220227072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 220227072 is about 14840.0495956045. The cubic root of 220227072 is about 603.8886978221. Note that the first 3 decimals are identical.

Adding to 220227072 its reverse (270722022), we get a palindrome (490949094).

The spelling of 220227072 in words is "two hundred twenty million, two hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 192 208 246 256 269 312 328 384 416 492 512 533 538 624 656 768 807 832 984 1066 1076 1248 1312 1536 1599 1614 1664 1968 2132 2152 2496 2624 3198 3228 3328 3497 3936 4264 4304 4992 5248 6396 6456 6656 6994 7872 8528 8608 9984 10491 10496 11029 12792 12912 13988 15744 17056 17216 19968 20982 20992 22058 25584 25824 27976 31488 33087 34112 34432 41964 44116 51168 51648 55952 62976 66174 68224 68864 83928 88232 102336 103296 111904 132348 136448 137728 143377 167856 176464 204672 206592 223808 264696 272896 286754 335712 352928 409344 413184 430131 447616 529392 573508 671424 705856 818688 860262 895232 1058784 1147016 1342848 1411712 1720524 1790464 2117568 2294032 2685696 2823424 3441048 4235136 4588064 5371392 5646848 6882096 8470272 9176128 13764192 16940544 18352256 27528384 36704512 55056768 73409024 110113536 220227072