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232130220 = 223571921531
BaseRepresentation
bin11011101011000…
…00011010101100
3121011210102210120
431311200122230
5433411131340
635011204540
75516034330
oct1565403254
9534712716
10232130220
1110a038963
12658a6750
1339126a7a
1422b877c0
15155a44d0
hexdd606ac

232130220 has 144 divisors (see below), whose sum is σ = 784482048. Its totient is φ = 50232960.

The previous prime is 232130183. The next prime is 232130221. The reversal of 232130220 is 22031232.

232130220 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232130220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232130221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150855 + ... + 152385.

It is an arithmetic number, because the mean of its divisors is an integer number (5447792).

Almost surely, 2232130220 is an apocalyptic number.

232130220 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 232130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392241024).

232130220 is an abundant number, since it is smaller than the sum of its proper divisors (552351828).

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

232130220 is a wasteful number, since it uses less digits than its factorization.

232130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232130220 is about 15235.8202929806. The cubic root of 232130220 is about 614.5783083173.

Adding to 232130220 its reverse (22031232), we get a palindrome (254161452).

The spelling of 232130220 in words is "two hundred thirty-two million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 361 380 399 420 532 570 665 722 798 1083 1140 1330 1444 1531 1596 1805 1995 2166 2527 2660 3062 3610 3990 4332 4593 5054 5415 6124 7220 7581 7655 7980 9186 10108 10717 10830 12635 15162 15310 18372 21434 21660 22965 25270 29089 30324 30620 32151 37905 42868 45930 50540 53585 58178 64302 75810 87267 91860 107170 116356 128604 145445 151620 160755 174534 203623 214340 290890 321510 349068 407246 436335 552691 581780 610869 643020 814492 872670 1018115 1105382 1221738 1658073 1745340 2036230 2210764 2443476 2763455 3054345 3316146 3868837 4072460 5526910 6108690 6632292 7737674 8290365 11053820 11606511 12217380 15475348 16580730 19344185 23213022 33161460 38688370 46426044 58032555 77376740 116065110 232130220