Search a number
-
+
220054503656 = 231317314197927
BaseRepresentation
bin1100110011110001000…
…1010100000011101000
3210000222222101000201002
43030330101110003220
512101132423104111
6245031443414132
721620104263461
oct3147421240350
9700888330632
10220054503656
1185363037669
1236793984348
131799c09b0a0
14a917713d68
155acdda963b
hex333c4540e8

220054503656 has 128 divisors (see below), whose sum is σ = 497505576960. Its totient is φ = 90248601600.

The previous prime is 220054503653. The next prime is 220054503679. The reversal of 220054503656 is 656305450022.

It is not an unprimeable number, because it can be changed into a prime (220054503653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2198165 + ... + 2296091.

It is an arithmetic number, because the mean of its divisors is an integer number (3886762320).

Almost surely, 2220054503656 is an apocalyptic number.

220054503656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220054503656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248752788480).

220054503656 is an abundant number, since it is smaller than the sum of its proper divisors (277451073304).

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

220054503656 is a wasteful number, since it uses less digits than its factorization.

220054503656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98035 (or 98031 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

Adding to 220054503656 its reverse (656305450022), we get a palindrome (876359953678).

The spelling of 220054503656 in words is "two hundred twenty billion, fifty-four million, five hundred three thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 17 26 31 34 41 52 62 68 82 104 124 136 164 221 248 328 403 442 527 533 697 806 884 1054 1066 1271 1394 1612 1768 2108 2132 2542 2788 3224 4216 4264 5084 5576 6851 9061 10168 13702 16523 18122 21607 27404 33046 36244 43214 54808 66092 72488 86428 97927 132184 172856 195854 280891 391708 561782 783416 1123564 1273051 1664759 2247128 2546102 3035737 3329518 4015007 5092204 6071474 6659036 8030014 10184408 12142948 13318072 16060028 21641867 24285896 32120056 39464581 43283734 51607529 52195091 68255119 78929162 86567468 103215058 104390182 124465217 136510238 157858324 173134936 206430116 208780364 248930434 273020476 315716648 412860232 417560728 497860868 546040952 670897877 887316547 995721736 1341795754 1618047821 1774633094 2115908689 2683591508 3236095642 3549266188 4231817378 5367183016 6472191284 7098532376 8463634756 12944382568 16927269512 27506812957 55013625914 110027251828 220054503656