Search a number
-
+
220103001144 = 233213277848927
BaseRepresentation
bin1100110011111100101…
…0010100010000111000
3210001010100121221202100
43030333022110100320
512101232332014034
6245040335103400
721621233432535
oct3147712242070
9701110557670
10220103001144
1185388451534
12367a8071b60
13179a914b620
14a91dd39d8c
155ad3289099
hex333f294438

220103001144 has 96 divisors (see below), whose sum is σ = 644285416320. Its totient is φ = 67479429888.

The previous prime is 220103001071. The next prime is 220103001149. The reversal of 220103001144 is 441100301022.

220103001144 is a `hidden beast` number, since 220 + 1 + 0 + 300 + 1 + 144 = 666.

It is a super-2 number, since 2×2201030011442 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220103001149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165192 + ... + 683735.

It is an arithmetic number, because the mean of its divisors is an integer number (6711306420).

Almost surely, 2220103001144 is an apocalyptic number.

220103001144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220103001144 is an abundant number, since it is smaller than the sum of its proper divisors (424182415176).

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

220103001144 is a wasteful number, since it uses less digits than its factorization.

220103001144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849229 (or 849222 counting only the distinct ones).

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

Adding to 220103001144 its reverse (441100301022), we get a palindrome (661203302166).

The spelling of 220103001144 in words is "two hundred twenty billion, one hundred three million, one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 277 312 468 554 831 936 1108 1662 2216 2493 3324 3601 4986 6648 7202 9972 10803 14404 19944 21606 28808 32409 43212 64818 86424 129636 259272 848927 1697854 2546781 3395708 5093562 6791416 7640343 10187124 11036051 15280686 20374248 22072102 30561372 33108153 44144204 61122744 66216306 88288408 99324459 132432612 198648918 235152779 264865224 397297836 470305558 705458337 794595672 940611116 1410916674 1881222232 2116375011 2821833348 3056986127 4232750022 5643666696 6113972254 8465500044 9170958381 12227944508 16931000088 18341916762 24455889016 27512875143 36683833524 55025750286 73367667048 110051500572 220103001144