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220212189 = 352331241
BaseRepresentation
bin11010010000000…
…10101111011101
3120100100221100000
431020002233131
5422333242224
633503524513
75312526021
oct1510025735
9510327300
10220212189
1110333874a
12618b9739
1336813192
1421364381
15144ed0c9
hexd202bdd

220212189 has 72 divisors (see below), whose sum is σ = 364343616. Its totient is φ = 132580800.

The previous prime is 220212173. The next prime is 220212211. The reversal of 220212189 is 981212022.

220212189 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220212189 - 24 = 220212173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212389) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5371009 + ... + 5371049.

It is an arithmetic number, because the mean of its divisors is an integer number (5060328).

Almost surely, 2220212189 is an apocalyptic number.

It is an amenable number.

220212189 is a deficient number, since it is larger than the sum of its proper divisors (144131427).

220212189 is an equidigital number, since it uses as much as digits as its factorization.

220212189 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 220212189 is about 14839.5481400210. The cubic root of 220212189 is about 603.8750938665.

The spelling of 220212189 in words is "two hundred twenty million, two hundred twelve thousand, one hundred eighty-nine".

Divisors: 1 3 9 23 27 31 41 69 81 93 123 207 243 279 369 621 713 837 943 961 1107 1271 1863 2139 2511 2829 2883 3321 3813 5589 6417 7533 8487 8649 9963 11439 19251 22103 25461 25947 29233 34317 39401 57753 66309 76383 77841 87699 102951 118203 173259 198927 229149 233523 263097 308853 354609 596781 789291 906223 1063827 1790343 2367873 2718669 3191481 5371029 7103619 8156007 9574443 24468021 73404063 220212189