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235115532 = 223231457461
BaseRepresentation
bin11100000001110…
…01010000001100
3121101102002212200
432000321100030
5440142144112
635155201500
75553310011
oct1600712014
9541362780
10235115532
11110797863
12668a6290
1339930822
1423323708
1515993cdc
hexe03940c

235115532 has 72 divisors (see below), whose sum is σ = 616167552. Its totient is φ = 75513600.

The previous prime is 235115513. The next prime is 235115549. The reversal of 235115532 is 235511532.

It is a happy number.

235115532 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

235115532 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 235115496 and 235115505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509782 + ... + 510242.

Almost surely, 2235115532 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 235115532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308083776).

235115532 is an abundant number, since it is smaller than the sum of its proper divisors (381052020).

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

235115532 is a wasteful number, since it uses less digits than its factorization.

235115532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 954 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 235115532 is about 15333.4774920760. The cubic root of 235115532 is about 617.2016901768.

The spelling of 235115532 in words is "two hundred thirty-five million, one hundred fifteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 457 461 558 914 922 1116 1371 1383 1828 1844 2742 2766 4113 4149 5484 5532 8226 8298 14167 14291 16452 16596 28334 28582 42501 42873 56668 57164 85002 85746 127503 128619 170004 171492 210677 255006 257238 421354 510012 514476 632031 842708 1264062 1896093 2528124 3792186 6530987 7584372 13061974 19592961 26123948 39185922 58778883 78371844 117557766 235115532