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232133220 = 2232511117239
BaseRepresentation
bin11011101011000…
…01001001100100
3121011210120220200
431311201021210
5433411230340
635011230500
75516046144
oct1565411144
9534716820
10232133220
1110a040140
12658a8430
1339128247
1422b88924
15155a5330
hexdd61264

232133220 has 72 divisors (see below), whose sum is σ = 768156480. Its totient is φ = 56274240.

The previous prime is 232133207. The next prime is 232133287. The reversal of 232133220 is 22331232.

It is a happy number.

232133220 is digitally balanced in base 3 and base 9, because in such bases 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 (18).

232133220 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 232133193 and 232133202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56640 + ... + 60599.

It is an arithmetic number, because the mean of its divisors is an integer number (10668840).

Almost surely, 2232133220 is an apocalyptic number.

232133220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232133220 is an abundant number, since it is smaller than the sum of its proper divisors (536023260).

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

232133220 is a wasteful number, since it uses less digits than its factorization.

232133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117265 (or 117260 counting only the distinct ones).

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

The square root of 232133220 is about 15235.9187448608. The cubic root of 232133220 is about 614.5809558643.

Adding to 232133220 its reverse (22331232), we get a palindrome (254464452).

The spelling of 232133220 in words is "two hundred thirty-two million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 117239 234478 351717 468956 586195 703434 1055151 1172390 1289629 1406868 1758585 2110302 2344780 2579258 3517170 3868887 4220604 5158516 5275755 6448145 7034340 7737774 10551510 11606661 12896290 15475548 19344435 21103020 23213322 25792580 38688870 46426644 58033305 77377740 116066610 232133220