Search a number
-
+
232442028 = 223371367353
BaseRepresentation
bin11011101101011…
…00100010101100
3121012101021112000
431312230202230
5434001121103
635022012300
75521503360
oct1566544254
9535337460
10232442028
1110a231155
1265a17090
1339205980
1422c292a0
1515616aa3
hexddac8ac

232442028 has 192 divisors, whose sum is σ = 754897920. Its totient is φ = 60217344.

The previous prime is 232442011. The next prime is 232442033. The reversal of 232442028 is 820244232.

232442028 is a `hidden beast` number, since 232 + 4 + 420 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 232441992 and 232442010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658300 + ... + 658652.

It is an arithmetic number, because the mean of its divisors is an integer number (3931760).

Almost surely, 2232442028 is an apocalyptic number.

232442028 is a gapful number since it is divisible by the number (28) 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 232442028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377448960).

232442028 is an abundant number, since it is smaller than the sum of its proper divisors (522455892).

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

232442028 is a wasteful number, since it uses less digits than its factorization.

232442028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 232442028 is about 15246.0495866962. The cubic root of 232442028 is about 614.8533618266.

The spelling of 232442028 in words is "two hundred thirty-two million, four hundred forty-two thousand, twenty-eight".