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232173540 = 22345192397
BaseRepresentation
bin11011101011010…
…10111111100100
3121011212122020000
431311222333210
5433414023130
635012141300
75516304534
oct1565527744
9534778200
10232173540
1110a068465
1265907830
13391406c1
1422b994c4
15155b2260
hexdd6afe4

232173540 has 180 divisors, whose sum is σ = 770624316. Its totient is φ = 58506624.

The previous prime is 232173511. The next prime is 232173541. The reversal of 232173540 is 45371232.

232173540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 119771136 + 112402404 = 10944^2 + 10602^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2321735402 = 107809105352263200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (232173541) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 584622 + ... + 585018.

Almost surely, 2232173540 is an apocalyptic number.

232173540 is a gapful number since it is divisible by the number (20) 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 232173540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385312158).

232173540 is an abundant number, since it is smaller than the sum of its proper divisors (538450776).

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

232173540 is a wasteful number, since it uses less digits than its factorization.

232173540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 232173540 is about 15237.2418764027. The cubic root of 232173540 is about 614.6165366823.

The spelling of 232173540 in words is "two hundred thirty-two million, one hundred seventy-three thousand, five hundred forty".