[go: up one dir, main page]

Search a number
-
+
100222300 = 22521019923
BaseRepresentation
bin1011111100101…
…00010101011100
320222120211011001
411332110111130
5201124103200
613540040044
72324606203
oct576242534
9228524131
10100222300
1151633552
1229693024
13179c0a49
14d44c23a
158bea76a
hex5f9455c

100222300 has 36 divisors (see below), whose sum is σ = 219657816. Its totient is φ = 39688000.

The previous prime is 100222271. The next prime is 100222301. The reversal of 100222300 is 3222001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5139 + ... + 15061.

It is an arithmetic number, because the mean of its divisors is an integer number (6101606).

Almost surely, 2100222300 is an apocalyptic number.

100222300 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 100222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109828908).

100222300 is an abundant number, since it is smaller than the sum of its proper divisors (119435516).

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

100222300 is a wasteful number, since it uses less digits than its factorization.

100222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038 (or 10031 counting only the distinct ones).

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

The square root of 100222300 is about 10011.1088296951. The cubic root of 100222300 is about 464.5025705473.

Adding to 100222300 its reverse (3222001), we get a palindrome (103444301).

The spelling of 100222300 in words is "one hundred million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 9923 10100 19846 39692 49615 99230 198460 248075 496150 992300 1002223 2004446 4008892 5011115 10022230 20044460 25055575 50111150 100222300