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232213140 = 2232553101241
BaseRepresentation
bin11011101011101…
…00101010010100
3121011221122112200
431311310222110
5433421310030
635013044500
75516531145
oct1565645224
9534848480
10232213140
1110a095195
1265926730
1339155733
1422ba9acc
15155bdd60
hexdd74a94

232213140 has 144 divisors (see below), whose sum is σ = 727783056. Its totient is φ = 59904000.

The previous prime is 232213139. The next prime is 232213141. The reversal of 232213140 is 41312232.

It is an interprime number because it is at equal distance from previous prime (232213139) and next prime (232213141).

It can be written as a sum of positive squares in 8 ways, for example, as 47361924 + 184851216 = 6882^2 + 13596^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232213141) 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, 963420 + ... + 963660.

It is an arithmetic number, because the mean of its divisors is an integer number (5054049).

Almost surely, 2232213140 is an apocalyptic number.

232213140 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 232213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363891528).

232213140 is an abundant number, since it is smaller than the sum of its proper divisors (495569916).

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

232213140 is a wasteful number, since it uses less digits than its factorization.

232213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 232213140 is about 15238.5412687698. The cubic root of 232213140 is about 614.6514781191.

Adding to 232213140 its reverse (41312232), we get a palindrome (273525372).

The spelling of 232213140 in words is "two hundred thirty-two million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 101 106 159 180 202 212 241 265 303 318 404 477 482 505 530 606 636 723 795 909 954 964 1010 1060 1205 1212 1446 1515 1590 1818 1908 2020 2169 2385 2410 2892 3030 3180 3615 3636 4338 4545 4770 4820 5353 6060 7230 8676 9090 9540 10706 10845 12773 14460 16059 18180 21412 21690 24341 25546 26765 32118 38319 43380 48177 48682 51092 53530 63865 64236 73023 76638 80295 96354 97364 107060 114957 121705 127730 146046 153276 160590 191595 192708 219069 229914 240885 243410 255460 292092 321180 365115 383190 438138 459828 481770 486820 574785 730230 766380 876276 963540 1095345 1149570 1290073 1460460 2190690 2299140 2580146 3870219 4381380 5160292 6450365 7740438 11610657 12900730 15480876 19351095 23221314 25801460 38702190 46442628 58053285 77404380 116106570 232213140