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221950092 = 223713238837
BaseRepresentation
bin11010011101010…
…11000010001100
3120110122020021210
431032223002030
5423304400332
634005054420
75333354550
oct1516530214
9513566253
10221950092
11104315431
12623b7410
1336ca1220
1421697860
1514742ecc
hexd3ab08c

221950092 has 96 divisors (see below), whose sum is σ = 665183232. Its totient is φ = 55984896.

The previous prime is 221950067. The next prime is 221950093. The reversal of 221950092 is 290059122.

221950092 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221950093) 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 31 ways as a sum of consecutive naturals, for example, 20698 + ... + 29534.

It is an arithmetic number, because the mean of its divisors is an integer number (6928992).

Almost surely, 2221950092 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 221950092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332591616).

221950092 is an abundant number, since it is smaller than the sum of its proper divisors (443233140).

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

221950092 is a wasteful number, since it uses less digits than its factorization.

221950092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8887 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 221950092 is about 14897.9895287921. The cubic root of 221950092 is about 605.4595165683.

The spelling of 221950092 in words is "two hundred twenty-one million, nine hundred fifty thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 897 966 1092 1196 1794 1932 2093 3588 4186 6279 8372 8837 12558 17674 25116 26511 35348 53022 61859 106044 114881 123718 185577 203251 229762 247436 344643 371154 406502 459524 609753 689286 742308 804167 813004 1219506 1378572 1422757 1608334 2412501 2439012 2642263 2845514 3216668 4268271 4825002 5284526 5691028 7926789 8536542 9650004 10569052 15853578 17073084 18495841 31707156 36991682 55487523 73983364 110975046 221950092