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230131332 = 223267731307
BaseRepresentation
bin11011011011110…
…00011010000100
3121001000212211200
431231320122010
5432403200312
634500302500
75463040554
oct1555703204
9531025750
10230131332
111089a3092
12650a1a30
13388a6cb2
14227c7164
151530c0dc
hexdb78684

230131332 has 72 divisors (see below), whose sum is σ = 598948896. Its totient is φ = 74473344.

The previous prime is 230131309. The next prime is 230131333. The reversal of 230131332 is 233131032.

230131332 is a `hidden beast` number, since 2 + 301 + 31 + 332 = 666.

230131332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230131333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175423 + ... + 176729.

Almost surely, 2230131332 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 230131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299474448).

230131332 is an abundant number, since it is smaller than the sum of its proper divisors (368817564).

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

230131332 is a wasteful number, since it uses less digits than its factorization.

230131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 230131332 is about 15170.0801579952. The cubic root of 230131332 is about 612.8091629279.

Adding to 230131332 its reverse (233131032), we get a palindrome (463262364).

It can be divided in two parts, 2301 and 31332, that added together give a palindrome (33633).

The spelling of 230131332 in words is "two hundred thirty million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 73 134 146 201 219 268 292 402 438 603 657 804 876 1206 1307 1314 2412 2614 2628 3921 4891 5228 7842 9782 11763 14673 15684 19564 23526 29346 44019 47052 58692 87569 88038 95411 175138 176076 190822 262707 286233 350276 381644 525414 572466 788121 858699 1050828 1144932 1576242 1717398 3152484 3434796 6392537 12785074 19177611 25570148 38355222 57532833 76710444 115065666 230131332