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232011312 = 24313237773
BaseRepresentation
bin11011101010000…
…11011000110000
3121011120101200120
431311003120300
5433343330222
635004450240
75515030551
oct1565033060
9534511616
10232011312
11109a67595
1265849980
13390b4900
1422b56328
151557e15c
hexdd43630

232011312 has 120 divisors (see below), whose sum is σ = 667417104. Its totient is φ = 69368832.

The previous prime is 232011277. The next prime is 232011323. The reversal of 232011312 is 213110232.

It is a super-2 number, since 2×2320113122 = 107658497791922688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232011291 and 232011300.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 299758 + ... + 300530.

Almost surely, 2232011312 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 232011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333708552).

232011312 is an abundant number, since it is smaller than the sum of its proper divisors (435405792).

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

232011312 is a wasteful number, since it uses less digits than its factorization.

232011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 232011312 is about 15231.9175417936. The cubic root of 232011312 is about 614.4733517702.

Adding to 232011312 its reverse (213110232), we get a palindrome (445121544).

The spelling of 232011312 in words is "two hundred thirty-two million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 169 208 222 296 312 338 444 481 507 592 624 676 773 888 962 1014 1352 1443 1546 1776 1924 2028 2319 2704 2886 3092 3848 4056 4638 5772 6184 6253 7696 8112 9276 10049 11544 12368 12506 18552 18759 20098 23088 25012 28601 30147 37104 37518 40196 50024 57202 60294 75036 80392 85803 100048 114404 120588 130637 150072 160784 171606 228808 241176 261274 300144 343212 371813 391911 457616 482352 522548 686424 743626 783822 1045096 1115439 1372848 1487252 1567644 2090192 2230878 2974504 3135288 4461756 4833569 5949008 6270576 8923512 9667138 14500707 17847024 19334276 29001414 38668552 58002828 77337104 116005656 232011312