Search a number
-
+
22352230100 = 2252223522301
BaseRepresentation
bin10100110100010010…
…111111011011010100
32010200202122221100002
4110310102333123110
5331234132330400
614133553510432
71420623551414
oct246422773324
963622587302
1022352230100
119530284342
1243b9872418
132152b09275
14112086c644
158ac507ed5
hex5344bf6d4

22352230100 has 18 divisors (see below), whose sum is σ = 48504339534. Its totient is φ = 8940892000.

The previous prime is 22352230081. The next prime is 22352230151. The reversal of 22352230100 is 103225322.

It can be written as a sum of positive squares in 3 ways, for example, as 245298244 + 22106931856 = 15662^2 + 148684^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111761051 + ... + 111761250.

Almost surely, 222352230100 is an apocalyptic number.

22352230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22352230100 is an abundant number, since it is smaller than the sum of its proper divisors (26152109434).

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

22352230100 is a wasteful number, since it uses less digits than its factorization.

22352230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223522315 (or 223522308 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 22352230100 its reverse (103225322), we get a palindrome (22455455422).

The spelling of 22352230100 in words is "twenty-two billion, three hundred fifty-two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 223522301 447044602 894089204 1117611505 2235223010 4470446020 5588057525 11176115050 22352230100