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230501120 = 2853137157
BaseRepresentation
bin11011011110100…
…10101100000000
3121001201200002112
431233102230000
5433002013440
634512234452
75466140633
oct1557225400
9531650075
10230501120
111091259a3
126523ba28
13389a63c5
1422881c1a
1515381965
hexdbd2b00

230501120 has 144 divisors (see below), whose sum is σ = 589064448. Its totient is φ = 86261760.

The previous prime is 230501099. The next prime is 230501123. The reversal of 230501120 is 21105032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 230501095 and 230501104.

It is not an unprimeable number, because it can be changed into a prime (230501123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1468082 + ... + 1468238.

Almost surely, 2230501120 is an apocalyptic number.

230501120 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 230501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294532224).

230501120 is an abundant number, since it is smaller than the sum of its proper divisors (358563328).

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

230501120 is a wasteful number, since it uses less digits than its factorization.

230501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 230501120 is about 15182.2633358798. The cubic root of 230501120 is about 613.1372193826.

Adding to 230501120 its reverse (21105032), we get a palindrome (251606152).

The spelling of 230501120 in words is "two hundred thirty million, five hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 37 40 62 64 74 80 124 128 148 155 157 160 185 248 256 296 310 314 320 370 496 592 620 628 640 740 785 992 1147 1184 1240 1256 1280 1480 1570 1984 2294 2368 2480 2512 2960 3140 3968 4588 4736 4867 4960 5024 5735 5809 5920 6280 7936 9176 9472 9734 9920 10048 11470 11618 11840 12560 18352 19468 19840 20096 22940 23236 23680 24335 25120 29045 36704 38936 39680 40192 45880 46472 47360 48670 50240 58090 73408 77872 91760 92944 97340 100480 116180 146816 155744 180079 183520 185888 194680 200960 232360 293632 311488 360158 367040 371776 389360 464720 622976 720316 734080 743552 778720 900395 929440 1245952 1440632 1468160 1487104 1557440 1800790 1858880 2881264 3114880 3601580 3717760 5762528 6229760 7203160 7435520 11525056 14406320 23050112 28812640 46100224 57625280 115250560 230501120