Search a number
-
+
30114224 = 247271541
BaseRepresentation
bin111001011100…
…0000110110000
32002122221221122
41302320012300
530202123344
62553241412
7513652400
oct162700660
962587848
1030114224
1115aa9298
12a103268
136314c8a
143ddc800
15299caee
hex1cb81b0

30114224 has 60 divisors (see below), whose sum is σ = 68955408. Its totient is φ = 12700800.

The previous prime is 30114197. The next prime is 30114257. The reversal of 30114224 is 42241103.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 55394 + ... + 55934.

Almost surely, 230114224 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 30114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34477704).

30114224 is an abundant number, since it is smaller than the sum of its proper divisors (38841184).

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

30114224 is a wasteful number, since it uses less digits than its factorization.

30114224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 30114224 is about 5487.6428455212. The cubic root of 30114224 is about 311.1171072918.

Adding to 30114224 its reverse (42241103), we get a palindrome (72355327).

The spelling of 30114224 in words is "thirty million, one hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 112 142 196 284 392 497 541 568 784 994 1082 1136 1988 2164 3479 3787 3976 4328 6958 7574 7952 8656 13916 15148 26509 27832 30296 38411 53018 55664 60592 76822 106036 153644 212072 268877 307288 424144 537754 614576 1075508 1882139 2151016 3764278 4302032 7528556 15057112 30114224