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220018032 = 2436131451
BaseRepresentation
bin11010001110100…
…11010101110000
3120100000002000000
431013103111300
5422311034112
633455430000
75311056663
oct1507232560
9510002000
10220018032
11103215893
1261825300
13367759b0
14213136da
15144b07dc
hexd1d3570

220018032 has 140 divisors (see below), whose sum is σ = 688773624. Its totient is φ = 67651200.

The previous prime is 220018031. The next prime is 220018049. The reversal of 220018032 is 230810022.

It is a happy number.

220018032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 220017996 and 220018014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220018031) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 150907 + ... + 152357.

Almost surely, 2220018032 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 220018032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344386812).

220018032 is an abundant number, since it is smaller than the sum of its proper divisors (468755592).

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

220018032 is a wasteful number, since it uses less digits than its factorization.

220018032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 220018032 is about 14833.0048203323. The cubic root of 220018032 is about 603.6975665278.

Adding to 220018032 its reverse (230810022), we get a palindrome (450828054).

The spelling of 220018032 in words is "two hundred twenty million, eighteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1451 1458 1872 1944 2106 2808 2902 2916 3159 3888 4212 4353 5616 5804 5832 6318 8424 8706 9477 11608 11664 12636 13059 16848 17412 18863 18954 23216 25272 26118 34824 37726 37908 39177 50544 52236 56589 69648 75452 75816 78354 104472 113178 117531 150904 151632 156708 169767 208944 226356 235062 301808 313416 339534 352593 452712 470124 509301 626832 679068 705186 905424 940248 1018602 1057779 1358136 1410372 1527903 1880496 2037204 2115558 2716272 2820744 3055806 4074408 4231116 4583709 5641488 6111612 8148816 8462232 9167418 12223224 13751127 16924464 18334836 24446448 27502254 36669672 55004508 73339344 110009016 220018032