Search a number
-
+
221410144020 = 2235131063926681
BaseRepresentation
bin1100111000110100010…
…0101010111100010100
3210011111110020200200110
43032031010222330110
512111421444102040
6245414151443020
721665515112652
oct3161504527424
9704443220613
10221410144020
11859992882aa
1236ab1986470
1317b56bb7850
14aa05799dd2
155b5cdda980
hex338d12af14

221410144020 has 96 divisors (see below), whose sum is σ = 667724520960. Its totient is φ = 54493793280.

The previous prime is 221410143973. The next prime is 221410144027. The reversal of 221410144020 is 20441014122.

It is a super-3 number, since 3×2214101440203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221410144027) 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, 8285080 + ... + 8311760.

It is an arithmetic number, because the mean of its divisors is an integer number (6955463760).

Almost surely, 2221410144020 is an apocalyptic number.

221410144020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221410144020 is an abundant number, since it is smaller than the sum of its proper divisors (446314376940).

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

221410144020 is a wasteful number, since it uses less digits than its factorization.

221410144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37345 (or 37343 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221410144020 its reverse (20441014122), we get a palindrome (241851158142).

The spelling of 221410144020 in words is "two hundred twenty-one billion, four hundred ten million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 10639 21278 26681 31917 42556 53195 53362 63834 80043 106390 106724 127668 133405 138307 159585 160086 212780 266810 276614 319170 320172 346853 400215 414921 533620 553228 638340 691535 693706 800430 829842 1040559 1383070 1387412 1600860 1659684 1734265 2074605 2081118 2766140 3468530 4149210 4162236 5202795 6937060 8298420 10405590 20811180 283859159 567718318 851577477 1135436636 1419295795 1703154954 2838591590 3406309908 3690169067 4257887385 5677183180 7380338134 8515774770 11070507201 14760676268 17031549540 18450845335 22141014402 36901690670 44282028804 55352536005 73803381340 110705072010 221410144020