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232132320 = 25325723029
BaseRepresentation
bin11011101011000…
…00111011100000
3121011210112200100
431311200323200
5433411213240
635011222400
75516043420
oct1565407340
9534715610
10232132320
1110a03a4a2
12658a7a00
1339127a04
1422b88480
15155a4e30
hexdd60ee0

232132320 has 144 divisors (see below), whose sum is σ = 905355360. Its totient is φ = 53056512.

The previous prime is 232132301. The next prime is 232132321. The reversal of 232132320 is 23231232.

It is a happy number.

232132320 is a `hidden beast` number, since 2 + 321 + 323 + 20 = 666.

232132320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 232132293 and 232132302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232132321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1435 + ... + 21594.

It is an arithmetic number, because the mean of its divisors is an integer number (6287190).

Almost surely, 2232132320 is an apocalyptic number.

232132320 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 232132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452677680).

232132320 is an abundant number, since it is smaller than the sum of its proper divisors (673223040).

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

232132320 is a wasteful number, since it uses less digits than its factorization.

232132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23057 (or 23046 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 232132320 is about 15235.8892093635. The cubic root of 232132320 is about 614.5801616026.

Adding to 232132320 its reverse (23231232), we get a palindrome (255363552).

The spelling of 232132320 in words is "two hundred thirty-two million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 23029 46058 69087 92116 115145 138174 161203 184232 207261 230290 276348 322406 345435 368464 414522 460580 483609 552696 644812 690870 736928 806015 829044 921160 967218 1036305 1105392 1289624 1381740 1450827 1612030 1658088 1842320 1934436 2072610 2210784 2418045 2579248 2763480 2901654 3224060 3316176 3684640 3868872 4145220 4836090 5158496 5526960 5803308 6448120 6632352 7254135 7737744 8290440 9672180 11053920 11606616 12896240 14508270 15475488 16580880 19344360 23213232 25792480 29016540 33161760 38688720 46426464 58033080 77377440 116066160 232132320