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220143132 = 2232111753617
BaseRepresentation
bin11010001111100…
…01111000011100
3120100020102121100
431013301320130
5422324040012
633502233100
75312120466
oct1507617034
9510212540
10220143132
111032a0880
1261885790
13367ba911
1421347136
15144d78dc
hexd1f1e1c

220143132 has 144 divisors (see below), whose sum is σ = 655960032. Its totient is φ = 61501440.

The previous prime is 220143127. The next prime is 220143151. The reversal of 220143132 is 231341022.

220143132 is a `hidden beast` number, since 2 + 201 + 431 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356488 + ... + 357104.

It is an arithmetic number, because the mean of its divisors is an integer number (4555278).

Almost surely, 2220143132 is an apocalyptic number.

220143132 is a gapful number since it is divisible by the number (22) 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 220143132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327980016).

220143132 is an abundant number, since it is smaller than the sum of its proper divisors (435816900).

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

220143132 is a wasteful number, since it uses less digits than its factorization.

220143132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 703 counting only the distinct ones).

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

The square root of 220143132 is about 14837.2211683994. The cubic root of 220143132 is about 603.8119636004.

Adding to 220143132 its reverse (231341022), we get a palindrome (451484154).

It can be divided in two parts, 220143 and 132, that multiplied together give a triangular number (29058876 = T7623).

The spelling of 220143132 in words is "two hundred twenty million, one hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 53 66 68 99 102 106 132 153 159 187 198 204 212 306 318 374 396 477 561 583 612 617 636 748 901 954 1122 1166 1234 1683 1749 1802 1851 1908 2244 2332 2468 2703 3366 3498 3604 3702 5247 5406 5553 6732 6787 6996 7404 8109 9911 10489 10494 10812 11106 13574 16218 19822 20361 20978 20988 22212 27148 29733 31467 32436 32701 39644 40722 41956 59466 61083 62934 65402 81444 89199 94401 98103 115379 118932 122166 125868 130804 178398 188802 196206 230758 244332 294309 346137 356796 359711 377604 392412 461516 555917 588618 692274 719422 1038411 1079133 1111834 1177236 1384548 1438844 1667751 2076822 2158266 2223668 3237399 3335502 4153644 4316532 5003253 6115087 6474798 6671004 10006506 12230174 12949596 18345261 20013012 24460348 36690522 55035783 73381044 110071566 220143132