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132259230 = 2345269607
BaseRepresentation
bin1111110001000…
…01110110011110
3100012212110120000
413320201312132
5232324243410
621042435130
73164120265
oct770416636
9305773500
10132259230
1168725354
1238362aa6
1321529bcc
14137cb5dc
15b927dc0
hex7e21d9e

132259230 has 80 divisors (see below), whose sum is σ = 357540480. Its totient is φ = 35080128.

The previous prime is 132259229. The next prime is 132259241. The reversal of 132259230 is 32952231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132259194 and 132259203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217587 + ... + 218193.

It is an arithmetic number, because the mean of its divisors is an integer number (4469256).

Almost surely, 2132259230 is an apocalyptic number.

132259230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132259230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178770240).

132259230 is an abundant number, since it is smaller than the sum of its proper divisors (225281250).

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

132259230 is a wasteful number, since it uses less digits than its factorization.

132259230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 132259230 is about 11500.4012973461. The cubic root of 132259230 is about 509.4974287875.

The spelling of 132259230 in words is "one hundred thirty-two million, two hundred fifty-nine thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 269 270 405 538 607 807 810 1214 1345 1614 1821 2421 2690 3035 3642 4035 4842 5463 6070 7263 8070 9105 10926 12105 14526 16389 18210 21789 24210 27315 32778 36315 43578 49167 54630 72630 81945 98334 108945 163283 163890 217890 245835 326566 489849 491670 816415 979698 1469547 1632830 2449245 2939094 4408641 4898490 7347735 8817282 13225923 14695470 22043205 26451846 44086410 66129615 132259230