Search a number
-
+
230022120 = 23355359613
BaseRepresentation
bin11011011010111…
…01101111101000
3121000211100000210
431231131233220
5432341201440
634454101120
75462104266
oct1555355750
9530740023
10230022120
11108929029
126504a7a0
1338869383
1422799436
15152d9a80
hexdb5dbe8

230022120 has 128 divisors (see below), whose sum is σ = 716169600. Its totient is φ = 59065344.

The previous prime is 230022119. The next prime is 230022137. The reversal of 230022120 is 21220032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 230022096 and 230022105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374934 + ... + 375546.

It is an arithmetic number, because the mean of its divisors is an integer number (5595075).

Almost surely, 2230022120 is an apocalyptic number.

230022120 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 230022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358084800).

230022120 is an abundant number, since it is smaller than the sum of its proper divisors (486147480).

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

230022120 is a wasteful number, since it uses less digits than its factorization.

230022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 230022120 is about 15166.4801453732. The cubic root of 230022120 is about 612.7122085738.

Adding to 230022120 its reverse (21220032), we get a palindrome (251242152).

The spelling of 230022120 in words is "two hundred thirty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 59 60 106 118 120 159 177 212 236 265 295 318 354 424 472 530 590 613 636 708 795 885 1060 1180 1226 1272 1416 1590 1770 1839 2120 2360 2452 3065 3127 3180 3540 3678 4904 6130 6254 6360 7080 7356 9195 9381 12260 12508 14712 15635 18390 18762 24520 25016 31270 32489 36167 36780 37524 46905 62540 64978 72334 73560 75048 93810 97467 108501 125080 129956 144668 162445 180835 187620 194934 217002 259912 289336 324890 361670 375240 389868 434004 487335 542505 649780 723340 779736 868008 974670 1085010 1299560 1446680 1916851 1949340 2170020 3833702 3898680 4340040 5750553 7667404 9584255 11501106 15334808 19168510 23002212 28752765 38337020 46004424 57505530 76674040 115011060 230022120