Search a number
-
+
232124148 = 2232431131327
BaseRepresentation
bin11011101010111…
…10111011110100
3121011210010110200
431311132323310
5433410433043
635011120500
75516010534
oct1565367364
9534703420
10232124148
1110a034343
12658a3130
1339124089
1422b854c4
15155a27d3
hexdd5eef4

232124148 has 72 divisors (see below), whose sum is σ = 606173568. Its totient is φ = 74850048.

The previous prime is 232124143. The next prime is 232124161. The reversal of 232124148 is 841421232.

232124148 is a `hidden beast` number, since 232 + 12 + 414 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232124141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174261 + ... + 175587.

Almost surely, 2232124148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232124148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303086784).

232124148 is an abundant number, since it is smaller than the sum of its proper divisors (374049420).

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

232124148 is a wasteful number, since it uses less digits than its factorization.

232124148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1488 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 232124148 is about 15235.6210244282. The cubic root of 232124148 is about 614.5729496124.

The spelling of 232124148 in words is "two hundred thirty-two million, one hundred twenty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 113 129 172 226 258 339 387 452 516 678 774 1017 1327 1356 1548 2034 2654 3981 4068 4859 5308 7962 9718 11943 14577 15924 19436 23886 29154 43731 47772 57061 58308 87462 114122 149951 171183 174924 228244 299902 342366 449853 513549 599804 684732 899706 1027098 1349559 1799412 2054196 2699118 5398236 6447893 12895786 19343679 25791572 38687358 58031037 77374716 116062074 232124148