Search a number
-
+
132223740 = 223511892251
BaseRepresentation
bin1111110000110…
…01001011111100
3100012210122212120
413320121023330
5232322124430
621042002540
73163611645
oct770311374
9305718776
10132223740
1168700720
1238346450
13215169cc
14137bc6cc
15b91c610
hex7e192fc

132223740 has 96 divisors (see below), whose sum is σ = 408602880. Its totient is φ = 31680000.

The previous prime is 132223733. The next prime is 132223747. The reversal of 132223740 is 47322231.

It is an interprime number because it is at equal distance from previous prime (132223733) and next prime (132223747).

It is a self number, because there is not a number n which added to its sum of digits gives 132223740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132223747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57615 + ... + 59865.

It is an arithmetic number, because the mean of its divisors is an integer number (4256280).

Almost surely, 2132223740 is an apocalyptic number.

132223740 is a gapful number since it is divisible by the number (10) 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 132223740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204301440).

132223740 is an abundant number, since it is smaller than the sum of its proper divisors (276379140).

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

132223740 is a wasteful number, since it uses less digits than its factorization.

132223740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 132223740 is about 11498.8582041871. The cubic root of 132223740 is about 509.4518524312.

Adding to 132223740 its reverse (47322231), we get a palindrome (179545971).

The spelling of 132223740 in words is "one hundred thirty-two million, two hundred twenty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 267 330 356 445 534 660 890 979 1068 1335 1780 1958 2251 2670 2937 3916 4502 4895 5340 5874 6753 9004 9790 11255 11748 13506 14685 19580 22510 24761 27012 29370 33765 45020 49522 58740 67530 74283 99044 123805 135060 148566 200339 247610 297132 371415 400678 495220 601017 742830 801356 1001695 1202034 1485660 2003390 2203729 2404068 3005085 4006780 4407458 6010170 6611187 8814916 11018645 12020340 13222374 22037290 26444748 33055935 44074580 66111870 132223740