Search a number
-
+
232325120 = 2165709
BaseRepresentation
bin11011101100100…
…00000000000000
3121012011100011002
431312100000000
5433433400440
635015311132
75520505466
oct1566200000
9535140132
10232325120
1110a161335
126597b4a8
13391946b1
1422bd8836
15155e2115
hexdd90000

232325120 has 68 divisors (see below), whose sum is σ = 558362460. Its totient is φ = 92798976.

The previous prime is 232325069. The next prime is 232325123. The reversal of 232325120 is 21523232.

It can be written as a sum of positive squares in 2 ways, for example, as 55115776 + 177209344 = 7424^2 + 13312^2 .

It is a super-2 number, since 2×2323251202 = 107949922766028800, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 232325092 and 232325101.

It is not an unprimeable number, because it can be changed into a prime (232325123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327326 + ... + 328034.

Almost surely, 2232325120 is an apocalyptic number.

232325120 is a gapful number since it is divisible by the number (20) 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 232325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279181230).

232325120 is an abundant number, since it is smaller than the sum of its proper divisors (326037340).

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

232325120 is an frugal number, since it uses more digits than its factorization.

232325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 716 counting only the distinct ones).

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

The square root of 232325120 is about 15242.2150621227. The cubic root of 232325120 is about 614.7502632435.

Adding to 232325120 its reverse (21523232), we get a palindrome (253848352).

The spelling of 232325120 in words is "two hundred thirty-two million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 709 1024 1280 1418 2048 2560 2836 3545 4096 5120 5672 7090 8192 10240 11344 14180 16384 20480 22688 28360 32768 40960 45376 56720 65536 81920 90752 113440 163840 181504 226880 327680 363008 453760 726016 907520 1452032 1815040 2904064 3630080 5808128 7260160 11616256 14520320 23232512 29040640 46465024 58081280 116162560 232325120