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222994728 = 233311127739
BaseRepresentation
bin11010100101010…
…10000100101000
3120112121022021000
431102222010220
5424041312403
634043315000
75345265255
oct1522520450
9515538230
10222994728
11104969270
126281ba60
1337278858
142188a42c
151489c7a3
hexd4aa128

222994728 has 128 divisors (see below), whose sum is σ = 681984000. Its totient is φ = 66951360.

The previous prime is 222994727. The next prime is 222994753. The reversal of 222994728 is 827499222.

222994728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222994721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301383 + ... + 302121.

It is an arithmetic number, because the mean of its divisors is an integer number (5328000).

Almost surely, 2222994728 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 222994728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340992000).

222994728 is an abundant number, since it is smaller than the sum of its proper divisors (458989272).

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

222994728 is a wasteful number, since it uses less digits than its factorization.

222994728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 882 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 222994728 is about 14933.0080024086. The cubic root of 222994728 is about 606.4079206272.

The spelling of 222994728 in words is "two hundred twenty-two million, nine hundred ninety-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 127 132 198 216 254 264 297 381 396 508 594 739 762 792 1016 1143 1188 1397 1478 1524 2217 2286 2376 2794 2956 3048 3429 4191 4434 4572 5588 5912 6651 6858 8129 8382 8868 9144 11176 12573 13302 13716 16258 16764 17736 19953 24387 25146 26604 27432 32516 33528 37719 39906 48774 50292 53208 65032 73161 75438 79812 93853 97548 100584 146322 150876 159624 187706 195096 219483 281559 292644 301752 375412 438966 563118 585288 750824 844677 877932 1032383 1126236 1689354 1755864 2064766 2252472 2534031 3097149 3378708 4129532 5068062 6194298 6757416 8259064 9291447 10136124 12388596 18582894 20272248 24777192 27874341 37165788 55748682 74331576 111497364 222994728