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30223314 = 23311174173
BaseRepresentation
bin111001101001…
…0101111010010
32002212111121000
41303102233102
530214121224
62555442430
7514615422
oct163225722
962774530
1030223314
1116073250
12a156416
136352824
14402a482
1529c00c9
hex1cd2bd2

30223314 has 128 divisors (see below), whose sum is σ = 80559360. Its totient is φ = 8294400.

The previous prime is 30223313. The next prime is 30223321. The reversal of 30223314 is 41332203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30223313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413982 + ... + 414054.

It is an arithmetic number, because the mean of its divisors is an integer number (629370).

Almost surely, 230223314 is an apocalyptic number.

30223314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30223314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40279680).

30223314 is an abundant number, since it is smaller than the sum of its proper divisors (50336046).

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

30223314 is a wasteful number, since it uses less digits than its factorization.

30223314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30223314 is about 5497.5734647206. The cubic root of 30223314 is about 311.4923326869.

Adding to 30223314 its reverse (41332203), we get a palindrome (71555517).

Subtracting 30223314 from its reverse (41332203), we obtain a square (11108889 = 33332).

It can be divided in two parts, 3022 and 3314, that added together give a palindrome (6336).

The spelling of 30223314 in words is "thirty million, two hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 41 51 54 66 73 82 99 102 123 146 153 187 198 219 246 297 306 369 374 438 451 459 561 594 657 697 738 803 902 918 1107 1122 1241 1314 1353 1394 1606 1683 1971 2091 2214 2409 2482 2706 2993 3366 3723 3942 4059 4182 4818 5049 5986 6273 7227 7446 7667 8118 8979 10098 11169 12177 12546 13651 14454 15334 17958 18819 21681 22338 23001 24354 26937 27302 32923 33507 37638 40953 43362 46002 50881 53874 65846 67014 69003 80811 81906 98769 101762 122859 138006 152643 161622 197538 207009 245718 296307 305286 368577 414018 457929 559691 592614 737154 888921 915858 1119382 1373787 1679073 1777842 2747574 3358146 5037219 10074438 15111657 30223314