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30122144 = 25131937103
BaseRepresentation
bin111001011101…
…0000010100000
32002200100210222
41302322002200
530202402034
62553342212
7514014443
oct162720240
962610728
1030122144
1116004238
12a107968
136318770
14400165a
1529a012e
hex1cba0a0

30122144 has 96 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 12690432.

The previous prime is 30122137. The next prime is 30122153. The reversal of 30122144 is 44122103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292397 + ... + 292499.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 230122144 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 30122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

30122144 is an abundant number, since it is smaller than the sum of its proper divisors (39591136).

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

30122144 is a wasteful number, since it uses less digits than its factorization.

30122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

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

The square root of 30122144 is about 5488.3644193876. The cubic root of 30122144 is about 311.1443793600.

Adding to 30122144 its reverse (44122103), we get a palindrome (74244247).

The spelling of 30122144 in words is "thirty million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 37 38 52 74 76 103 104 148 152 206 208 247 296 304 412 416 481 494 592 608 703 824 962 988 1184 1339 1406 1648 1924 1957 1976 2678 2812 3296 3811 3848 3914 3952 5356 5624 7622 7696 7828 7904 9139 10712 11248 15244 15392 15656 18278 21424 22496 25441 30488 31312 36556 42848 49543 50882 60976 62624 72409 73112 99086 101764 121952 144818 146224 198172 203528 289636 292448 396344 407056 579272 792688 814112 941317 1158544 1585376 1882634 2317088 3765268 7530536 15061072 30122144