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132202224 = 243271111923
BaseRepresentation
bin1111110000100…
…11111011110000
3100012202120100200
413320103323300
5232320432344
621041315200
73163462140
oct770237360
9305676320
10132202224
1168696540
1238335b00
1321509c8b
14137b4920
15b916069
hex7e13ef0

132202224 has 120 divisors (see below), whose sum is σ = 461315712. Its totient is φ = 34335360.

The previous prime is 132202223. The next prime is 132202249. The reversal of 132202224 is 422202231.

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 = 132202197 and 132202206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132202223) 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, 5127 + ... + 17049.

Almost surely, 2132202224 is an apocalyptic number.

132202224 is a gapful number since it is divisible by the number (14) 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 132202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230657856).

132202224 is an abundant number, since it is smaller than the sum of its proper divisors (329113488).

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

132202224 is a wasteful number, since it uses less digits than its factorization.

132202224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11955 (or 11946 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 132202224 is about 11497.9225949734. The cubic root of 132202224 is about 509.4242175535.

Adding to 132202224 its reverse (422202231), we get a palindrome (554404455).

The spelling of 132202224 in words is "one hundred thirty-two million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 11923 23846 35769 47692 71538 83461 95384 107307 131153 143076 166922 190768 214614 250383 262306 286152 333844 393459 429228 500766 524612 572304 667688 751149 786918 858456 918071 1001532 1049224 1180377 1335376 1502298 1573836 1716912 1836142 2003064 2098448 2360754 2754213 3004596 3147672 3672284 4006128 4721508 5508426 6009192 6295344 7344568 8262639 9443016 11016852 12018384 14689136 16525278 18886032 22033704 33050556 44067408 66101112 132202224