Search a number
-
+
232903120 = 2458533413
BaseRepresentation
bin11011110000111…
…01000111010000
3121020020201000111
431320131013100
5434110344440
635035531104
75525433562
oct1570350720
9536221014
10232903120
1110a51661a
1265bb9a94
13393377c8
1422d09332
15156a84ea
hexde1d1d0

232903120 has 40 divisors (see below), whose sum is σ = 542293416. Its totient is φ = 93024768.

The previous prime is 232903117. The next prime is 232903127. The reversal of 232903120 is 21309232.

232903120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23464336 + 209438784 = 4844^2 + 14472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 232903091 and 232903100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232903127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66534 + ... + 69946.

Almost surely, 2232903120 is an apocalyptic number.

232903120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232903120 is an abundant number, since it is smaller than the sum of its proper divisors (309390296).

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

232903120 is a wasteful number, since it uses less digits than its factorization.

232903120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 232903120 is about 15261.1637826216. The cubic root of 232903120 is about 615.2596519657.

The spelling of 232903120 in words is "two hundred thirty-two million, nine hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 853 1706 3412 3413 4265 6824 6826 8530 13648 13652 17060 17065 27304 34120 34130 54608 68240 68260 136520 273040 2911289 5822578 11645156 14556445 23290312 29112890 46580624 58225780 116451560 232903120