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235550232 = 233217533631
BaseRepresentation
bin11100000101000…
…11011000011000
3121102020012011200
432002203120120
5440300101412
635212354200
75560100241
oct1602433030
9542205150
10235550232
11110a64415
1266a75960
1339a53648
14233d7cc8
1515a2c9dc
hexe0a3618

235550232 has 96 divisors (see below), whose sum is σ = 688409280. Its totient is φ = 72483840.

The previous prime is 235550213. The next prime is 235550233. The reversal of 235550232 is 232055532.

It is a junction number, because it is equal to n+sod(n) for n = 235550196 and 235550205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235550233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63057 + ... + 66687.

It is an arithmetic number, because the mean of its divisors is an integer number (7170930).

Almost surely, 2235550232 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 235550232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344204640).

235550232 is an abundant number, since it is smaller than the sum of its proper divisors (452859048).

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

235550232 is a wasteful number, since it uses less digits than its factorization.

235550232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 235550232 is about 15347.6458129578. The cubic root of 235550232 is about 617.5818329265.

The spelling of 235550232 in words is "two hundred thirty-five million, five hundred fifty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 53 68 72 102 106 136 153 159 204 212 306 318 408 424 477 612 636 901 954 1224 1272 1802 1908 2703 3604 3631 3816 5406 7208 7262 8109 10812 10893 14524 16218 21624 21786 29048 32436 32679 43572 61727 64872 65358 87144 123454 130716 185181 192443 246908 261432 370362 384886 493816 555543 577329 740724 769772 1111086 1154658 1481448 1539544 1731987 2222172 2309316 3271531 3463974 4444344 4618632 6543062 6927948 9814593 13086124 13855896 19629186 26172248 29443779 39258372 58887558 78516744 117775116 235550232