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2232130100 = 225256939229
BaseRepresentation
bin1000010100001011…
…1001101000110100
312202120010221212012
42011002321220310
514032411130400
61005254143352
7106212535634
oct20502715064
95676127765
102232130100
11a45a85422
12523651b58
132975a1055
141726426c4
15d0e66d35
hex850b9a34

2232130100 has 36 divisors (see below), whose sum is σ = 4852358700. Its totient is φ = 891260160.

The previous prime is 2232130081. The next prime is 2232130207. The reversal of 2232130100 is 10312322.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3912484 + 2228217616 = 1978^2 + 47204^2 .

It is a super-3 number, since 3×22321301003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37286 + ... + 76514.

Almost surely, 22232130100 is an apocalyptic number.

2232130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232130100 is an abundant number, since it is smaller than the sum of its proper divisors (2620228600).

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

2232130100 is a wasteful number, since it uses less digits than its factorization.

2232130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39812 (or 39805 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2232130100 is about 47245.4241170507. The cubic root of 2232130100 is about 1306.8924067101.

Adding to 2232130100 its reverse (10312322), we get a palindrome (2242442422).

The spelling of 2232130100 in words is "two billion, two hundred thirty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 569 1138 2276 2845 5690 11380 14225 28450 39229 56900 78458 156916 196145 392290 784580 980725 1961450 3922900 22321301 44642602 89285204 111606505 223213010 446426020 558032525 1116065050 2232130100