Search a number
-
+
220401522450 = 2365224592
BaseRepresentation
bin1100110101000011110…
…1000101011100010010
3210001220011100102000000
43031100331011130102
512102340242204300
6245130121310430
721631520013204
oct3152075053422
9701804312000
10220401522450
1185520a05a5a
1236870035416
1317a25c4c355
14a94b846774
155aee5a4c00
hex3350f45712

220401522450 has 126 divisors (see below), whose sum is σ = 614889133509. Its totient is φ = 58749837840.

The previous prime is 220401522409. The next prime is 220401522457. The reversal of 220401522450 is 54225104022.

220401522450 is a `hidden beast` number, since 2 + 20 + 40 + 152 + 2 + 450 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 215993492001 + 4408030449 = 464751^2 + 66393^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=331965.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220401522457) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 89629321 + ... + 89631779.

Almost surely, 2220401522450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220401522450

220401522450 is an abundant number, since it is smaller than the sum of its proper divisors (394487611059).

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

220401522450 is an frugal number, since it uses more digits than its factorization.

220401522450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 220401522450 its reverse (54225104022), we get a palindrome (274626626472).

The spelling of 220401522450 in words is "two hundred twenty billion, four hundred one million, five hundred twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 729 810 1215 1350 1458 2025 2430 2459 3645 4050 4918 6075 7290 7377 12150 12295 14754 18225 22131 24590 36450 36885 44262 61475 66393 73770 110655 122950 132786 184425 199179 221310 331965 368850 398358 553275 597537 663930 995895 1106550 1195074 1659825 1792611 1991790 2987685 3319650 3585222 4979475 5975370 6046681 8963055 9958950 12093362 14938425 17926110 18140043 29876850 30233405 36280086 44815275 54420129 60466810 89630550 90700215 108840258 151167025 163260387 181400430 272100645 302334050 326520774 453501075 489781161 544201290 816301935 907002150 979562322 1360503225 1469343483 1632603870 2448905805 2721006450 2938686966 4081509675 4408030449 4897811610 7346717415 8163019350 8816060898 12244529025 14693434830 22040152245 24489058050 36733587075 44080304490 73467174150 110200761225 220401522450