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232213020 = 223513463643
BaseRepresentation
bin11011101011101…
…00101000011100
3121011221122101020
431311310220130
5433421304040
635013044140
75516530614
oct1565645034
9534848336
10232213020
1110a095096
1265926650
1339155670
1422ba9a44
15155bdcd0
hexdd74a1c

232213020 has 96 divisors (see below), whose sum is σ = 702815232. Its totient is φ = 56947968.

The previous prime is 232213019. The next prime is 232213021. The reversal of 232213020 is 20312232.

It is an interprime number because it is at equal distance from previous prime (232213019) and next prime (232213021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232213021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360819 + ... + 361461.

It is an arithmetic number, because the mean of its divisors is an integer number (7320992).

Almost surely, 2232213020 is an apocalyptic number.

232213020 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 232213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351407616).

232213020 is an abundant number, since it is smaller than the sum of its proper divisors (470602212).

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

232213020 is a wasteful number, since it uses less digits than its factorization.

232213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1129 counting only the distinct ones).

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

The square root of 232213020 is about 15238.5373313845. The cubic root of 232213020 is about 614.6513722420.

Adding to 232213020 its reverse (20312232), we get a palindrome (252525252).

The spelling of 232213020 in words is "two hundred thirty-two million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 463 643 780 926 1286 1389 1852 1929 2315 2572 2778 3215 3858 4630 5556 6019 6430 6945 7716 8359 9260 9645 12038 12860 13890 16718 18057 19290 24076 25077 27780 30095 33436 36114 38580 41795 50154 60190 72228 83590 90285 100308 120380 125385 167180 180570 250770 297709 361140 501540 595418 893127 1190836 1488545 1786254 2977090 3572508 3870217 4465635 5954180 7740434 8931270 11610651 15480868 17862540 19351085 23221302 38702170 46442604 58053255 77404340 116106510 232213020