Search a number
-
+
220100100 = 223521166697
BaseRepresentation
bin11010001111001…
…11011000000100
3120100011020120120
431013213120010
5422321200400
633501301540
75311551153
oct1507473004
9510136516
10220100100
11103271510
12618648b0
13367a415c
142133559a
15144c9ca0
hexd1e7604

220100100 has 72 divisors (see below), whose sum is σ = 694726368. Its totient is φ = 53356800.

The previous prime is 220100099. The next prime is 220100117. The reversal of 220100100 is 1001022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30049 + ... + 36648.

Almost surely, 2220100100 is an apocalyptic number.

220100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100100 is an abundant number, since it is smaller than the sum of its proper divisors (474626268).

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

220100100 is a wasteful number, since it uses less digits than its factorization.

220100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66725 (or 66718 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 220100100 is about 14835.7709607556. The cubic root of 220100100 is about 603.7726180931.

Adding to 220100100 its reverse (1001022), we get a palindrome (221101122).

It can be divided in two parts, 2 and 20100100, that added together give a palindrome (20100102).

The spelling of 220100100 in words is "two hundred twenty million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 66697 133394 200091 266788 333485 400182 666970 733667 800364 1000455 1333940 1467334 1667425 2000910 2201001 2934668 3334850 3668335 4001820 4402002 5002275 6669700 7336670 8804004 10004550 11005005 14673340 18341675 20009100 22010010 36683350 44020020 55025025 73366700 110050050 220100100