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235234032 = 243111773359
BaseRepresentation
bin11100000010101…
…10001011110000
3121101122010102120
432001112023300
5440204442112
635201514240
75554312335
oct1601261360
9541563376
10235234032
111108688a0
1266942980
1339972747
142335498c
15159b8e8c
hexe0562f0

235234032 has 160 divisors (see below), whose sum is σ = 713525760. Its totient is φ = 65986560.

The previous prime is 235234019. The next prime is 235234033. The reversal of 235234032 is 230432532.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 235233993 and 235234011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235234033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655069 + ... + 655427.

It is an arithmetic number, because the mean of its divisors is an integer number (4459536).

Almost surely, 2235234032 is an apocalyptic number.

235234032 is a gapful number since it is divisible by the number (22) 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 235234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356762880).

235234032 is an abundant number, since it is smaller than the sum of its proper divisors (478291728).

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

235234032 is a wasteful number, since it uses less digits than its factorization.

235234032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 235234032 is about 15337.3410994214. The cubic root of 235234032 is about 617.3053641956.

Adding to 235234032 its reverse (230432532), we get a palindrome (465666564).

The spelling of 235234032 in words is "two hundred thirty-five million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 73 88 102 132 136 146 176 187 204 219 264 272 292 359 374 408 438 528 561 584 718 748 803 816 876 1077 1122 1168 1241 1436 1496 1606 1752 2154 2244 2409 2482 2872 2992 3212 3504 3723 3949 4308 4488 4818 4964 5744 6103 6424 7446 7898 8616 8976 9636 9928 11847 12206 12848 13651 14892 15796 17232 18309 19272 19856 23694 24412 26207 27302 29784 31592 36618 38544 40953 47388 48824 52414 54604 59568 63184 67133 73236 78621 81906 94776 97648 104828 109208 134266 146472 157242 163812 189552 201399 209656 218416 268532 288277 292944 314484 327624 402798 419312 445519 537064 576554 628968 655248 805596 864831 891038 1074128 1153108 1257936 1336557 1611192 1729662 1782076 2306216 2673114 3222384 3459324 3564152 4612432 4900709 5346228 6918648 7128304 9801418 10692456 13837296 14702127 19602836 21384912 29404254 39205672 58808508 78411344 117617016 235234032