Search a number
-
+
232973465472 = 273211127144763
BaseRepresentation
bin1101100011111001001…
…1001111011110000000
3211021100022200021200100
43120332103033132000
512304112201343342
6255005421522400
722555204532256
oct3307623173600
9737308607610
10232973465472
118a8924a1910
123919a413400
1318c7a737ca7
14b3c13c65d6
1560d814ee4c
hex363e4cf780

232973465472 has 192 divisors, whose sum is σ = 737115125760. Its totient is φ = 70041646080.

The previous prime is 232973465471. The next prime is 232973465477. The reversal of 232973465472 is 274564379232.

It is a happy number.

232973465472 is a `hidden beast` number, since 2 + 3 + 2 + 97 + 3 + 4 + 6 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2329734654722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232973465471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1536963 + ... + 1681725.

It is an arithmetic number, because the mean of its divisors is an integer number (3839141280).

Almost surely, 2232973465472 is an apocalyptic number.

232973465472 is a gapful number since it is divisible by the number (22) 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 232973465472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368557562880).

232973465472 is an abundant number, since it is smaller than the sum of its proper divisors (504141660288).

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

232973465472 is a wasteful number, since it uses less digits than its factorization.

232973465472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144921 (or 144906 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 232973465472 in words is "two hundred thirty-two billion, nine hundred seventy-three million, four hundred sixty-five thousand, four hundred seventy-two".