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232530132 = 2231931167197
BaseRepresentation
bin11011101110000…
…10000011010100
3121012112202101010
431313002003110
5434011431012
635023532220
75522321262
oct1567020324
9535482333
10232530132
1110a29136a
1265a5a070
1339236ac3
1422c4d432
1515632c3c
hexddc20d4

232530132 has 96 divisors (see below), whose sum is σ = 596090880. Its totient is φ = 70277760.

The previous prime is 232530121. The next prime is 232530139. The reversal of 232530132 is 231035232.

It is a junction number, because it is equal to n+sod(n) for n = 232530099 and 232530108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232530139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180258 + ... + 1180454.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2232530132 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 232530132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298045440).

232530132 is an abundant number, since it is smaller than the sum of its proper divisors (363560748).

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

232530132 is a wasteful number, since it uses less digits than its factorization.

232530132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 232530132 is about 15248.9387171698. The cubic root of 232530132 is about 614.9310359578.

Adding to 232530132 its reverse (231035232), we get a palindrome (463565364).

It can be divided in two parts, 2325 and 30132, that multiplied together give a square (70056900 = 83702).

The spelling of 232530132 in words is "two hundred thirty-two million, five hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 167 186 197 228 334 372 394 501 589 591 668 788 1002 1178 1182 1767 2004 2356 2364 3173 3534 3743 5177 6107 6346 7068 7486 9519 10354 11229 12214 12692 14972 15531 18321 19038 20708 22458 24428 31062 32899 36642 38076 44916 62124 65798 73284 98363 98697 116033 131596 196726 197394 232066 295089 348099 393452 394788 464132 590178 625081 696198 1019869 1180356 1250162 1392396 1875243 2039738 2500324 3059607 3750486 4079476 6119214 7500972 12238428 19377511 38755022 58132533 77510044 116265066 232530132