Search a number
-
+
2272332100 = 225222723321
BaseRepresentation
bin1000011101110001…
…0000100101000100
312212100210102122011
42013130100211010
514123204111400
61013251544004
7110211334633
oct20734204504
95770712564
102272332100
11a66743815
12534bbb004
132a2a0880c
14177b0951a
15d47588ba
hex87710944

2272332100 has 18 divisors (see below), whose sum is σ = 4930960874. Its totient is φ = 908932800.

The previous prime is 2272332061. The next prime is 2272332109. The reversal of 2272332100 is 12332722.

It can be written as a sum of positive squares in 3 ways, for example, as 665856 + 2271666244 = 816^2 + 47662^2 .

It is not an unprimeable number, because it can be changed into a prime (2272332109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11361561 + ... + 11361760.

Almost surely, 22272332100 is an apocalyptic number.

2272332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2272332100 is an abundant number, since it is smaller than the sum of its proper divisors (2658628774).

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

2272332100 is a wasteful number, since it uses less digits than its factorization.

2272332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22723335 (or 22723328 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 2272332100 is about 47668.9846755729. The cubic root of 2272332100 is about 1314.6917405504.

Adding to 2272332100 its reverse (12332722), we get a palindrome (2284664822).

The spelling of 2272332100 in words is "two billion, two hundred seventy-two million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22723321 45446642 90893284 113616605 227233210 454466420 568083025 1136166050 2272332100