Search a number
-
+
4232228188644 = 22312172832
BaseRepresentation
bin111101100101100100011…
…101010011000111100100
3112222121010021000000000000
4331211210131103013210
51023320100404014034
613000131522021300
7614524363020561
oct75454435230744
915877107000000
104232228188644
111391972529a15
125842987a7830
13249136000a01
14108bab763868
1575153992599
hex3d9647531e4

4232228188644 has 351 divisors, whose sum is σ = 11945439250297. Its totient is φ = 1311760780416.

The previous prime is 4232228188613. The next prime is 4232228188651. The reversal of 4232228188644 is 4468818222324.

It is a happy number.

The square root of 4232228188644 is 2057238.

It is a perfect power (a square), and thus also a powerful number.

4232228188644 is a `hidden beast` number, since 4 + 232 + 228 + 188 + 6 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3294987344100 + 937240844544 = 1815210^2 + 968112^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 50990701027 + ... + 50990701109.

Almost surely, 24232228188644 is an apocalyptic number.

4232228188644 is the 2057238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4232228188644

4232228188644 is an abundant number, since it is smaller than the sum of its proper divisors (7713211061653).

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

4232228188644 is an frugal number, since it uses more digits than its factorization.

4232228188644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 105 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 4232228188644 in words is "four trillion, two hundred thirty-two billion, two hundred twenty-eight million, one hundred eighty-eight thousand, six hundred forty-four".