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230131320 = 233510717923
BaseRepresentation
bin11011011011110…
…00011001111000
3121001000212211020
431231320121320
5432403200240
634500302440
75463040536
oct1555703170
9531025736
10230131320
111089a3081
12650a1a20
13388a6ca3
14227c7156
151530c0d0
hexdb78678

230131320 has 64 divisors (see below), whose sum is σ = 696885120. Its totient is φ = 60791424.

The previous prime is 230131309. The next prime is 230131333. The reversal of 230131320 is 23131032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230131320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3879 + ... + 21801.

It is an arithmetic number, because the mean of its divisors is an integer number (10888830).

Almost surely, 2230131320 is an apocalyptic number.

230131320 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 230131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348442560).

230131320 is an abundant number, since it is smaller than the sum of its proper divisors (466753800).

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

230131320 is a wasteful number, since it uses less digits than its factorization.

230131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18044 (or 18040 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 230131320 is about 15170.0797624798. The cubic root of 230131320 is about 612.8091522765.

Adding to 230131320 its reverse (23131032), we get a palindrome (253262352).

The spelling of 230131320 in words is "two hundred thirty million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 17923 35846 53769 71692 89615 107538 143384 179230 215076 268845 358460 430152 537690 716920 1075380 1917761 2150760 3835522 5753283 7671044 9588805 11506566 15342088 19177610 23013132 28766415 38355220 46026264 57532830 76710440 115065660 230131320