Search a number
-
+
100032220 = 2259751563
BaseRepresentation
bin1011111011001…
…01111011011100
320222020011102001
411331211323130
5201102012340
613532012044
72323155061
oct575457334
9228204361
10100032220
1151513762
1229601024
1317955382
14d3dcc68
158bae29a
hex5f65edc

100032220 has 24 divisors (see below), whose sum is σ = 212237424. Its totient is φ = 39599616.

The previous prime is 100032209. The next prime is 100032227. The reversal of 100032220 is 22230001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100032197 and 100032206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23842 + ... + 27721.

It is an arithmetic number, because the mean of its divisors is an integer number (8843226).

Almost surely, 2100032220 is an apocalyptic number.

100032220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100032220 is an abundant number, since it is smaller than the sum of its proper divisors (112205204).

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

100032220 is a wasteful number, since it uses less digits than its factorization.

100032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51669 (or 51667 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 100032220 is about 10001.6108702549. The cubic root of 100032220 is about 464.2087286723.

Adding to 100032220 its reverse (22230001), we get a palindrome (122262221).

The spelling of 100032220 in words is "one hundred million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 51563 103126 206252 257815 515630 1031260 5001611 10003222 20006444 25008055 50016110 100032220