Search a number
-
+
230161920 = 2935231303
BaseRepresentation
bin11011011011111…
…11111000000000
3121001002102210120
431231333320000
5432410140140
634501100240
75463226002
oct1555777000
9531072716
10230161920
11108a1406a
12650b7680
13388b7bb1
14227d4372
15153161d0
hexdb7fe00

230161920 has 160 divisors (see below), whose sum is σ = 768379392. Its totient is φ = 58662912.

The previous prime is 230161913. The next prime is 230161927. The reversal of 230161920 is 29161032.

It is an interprime number because it is at equal distance from previous prime (230161913) and next prime (230161927).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230161927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175989 + ... + 177291.

Almost surely, 2230161920 is an apocalyptic number.

230161920 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 230161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384189696).

230161920 is an abundant number, since it is smaller than the sum of its proper divisors (538217472).

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

230161920 is a wasteful number, since it uses less digits than its factorization.

230161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 230161920 is about 15171.0882931977. The cubic root of 230161920 is about 612.8363123185.

The spelling of 230161920 in words is "two hundred thirty million, one hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 512 552 640 690 736 768 920 960 1104 1280 1303 1380 1472 1536 1840 1920 2208 2560 2606 2760 2944 3680 3840 3909 4416 5212 5520 5888 6515 7360 7680 7818 8832 10424 11040 11776 13030 14720 15636 17664 19545 20848 22080 26060 29440 29969 31272 35328 39090 41696 44160 52120 58880 59938 62544 78180 83392 88320 89907 104240 119876 125088 149845 156360 166784 176640 179814 208480 239752 250176 299690 312720 333568 359628 416960 449535 479504 500352 599380 625440 667136 719256 833920 899070 959008 1000704 1198760 1250880 1438512 1667840 1798140 1918016 2001408 2397520 2501760 2877024 3335680 3596280 3836032 4795040 5003520 5754048 7192560 7672064 9590080 10007040 11508096 14385120 15344128 19180160 23016192 28770240 38360320 46032384 57540480 76720640 115080960 230161920