Search a number
-
+
1220100200 = 23521117219101
BaseRepresentation
bin100100010111001…
…0100000001101000
310011000211111211022
41020232110001220
54444321201300
6321022552012
742143452304
oct11056240150
93130744738
101220100200
11576795380
122a0738608
13165a113a7
14b8082d04
15721ab285
hex48b94068

1220100200 has 288 divisors, whose sum is σ = 3494642400. Its totient is φ = 391680000.

The previous prime is 1220100187. The next prime is 1220100221. The reversal of 1220100200 is 20010221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12080150 + ... + 12080250.

It is an arithmetic number, because the mean of its divisors is an integer number (12134175).

Almost surely, 21220100200 is an apocalyptic number.

1220100200 is a gapful number since it is divisible by the number (10) 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 1220100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747321200).

1220100200 is an abundant number, since it is smaller than the sum of its proper divisors (2274542200).

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

1220100200 is a wasteful number, since it uses less digits than its factorization.

1220100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1220100200 is about 34929.9327225232. The cubic root of 1220100200 is about 1068.5589825390.

Adding to 1220100200 its reverse (20010221), we get a palindrome (1240110421).

The spelling of 1220100200 in words is "one billion, two hundred twenty million, one hundred thousand, two hundred".