Search a number
-
+
220515696 = 2435431319
BaseRepresentation
bin11010010010011…
…00110101110000
3120100221100200000
431021030311300
5422423000241
633514230000
75315231622
oct1511146560
9510840600
10220515696
11103525785
1261a25300
13368bb37b
1421402c12
151455ceb6
hexd24cd70

220515696 has 120 divisors (see below), whose sum is σ = 655374720. Its totient is φ = 71741376.

The previous prime is 220515689. The next prime is 220515751. The reversal of 220515696 is 696515022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220515696.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 166525 + ... + 167843.

It is an arithmetic number, because the mean of its divisors is an integer number (5461456).

Almost surely, 2220515696 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 220515696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327687360).

220515696 is an abundant number, since it is smaller than the sum of its proper divisors (434859024).

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

220515696 is a wasteful number, since it uses less digits than its factorization.

220515696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 220515696 is about 14849.7709073238. The cubic root of 220515696 is about 604.1523963801.

The spelling of 220515696 in words is "two hundred twenty million, five hundred fifteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 243 258 324 344 387 432 486 516 648 688 774 972 1032 1161 1296 1319 1548 1944 2064 2322 2638 3096 3483 3888 3957 4644 5276 6192 6966 7914 9288 10449 10552 11871 13932 15828 18576 20898 21104 23742 27864 31656 35613 41796 47484 55728 56717 63312 71226 83592 94968 106839 113434 142452 167184 170151 189936 213678 226868 284904 320517 340302 427356 453736 510453 569808 641034 680604 854712 907472 1020906 1282068 1361208 1531359 1709424 2041812 2564136 2722416 3062718 4083624 4594077 5128272 6125436 8167248 9188154 12250872 13782231 18376308 24501744 27564462 36752616 55128924 73505232 110257848 220515696