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132202242 = 23229463547
BaseRepresentation
bin1111110000100…
…11111100000010
3100012202120101100
413320103330002
5232320432432
621041315230
73163462164
oct770237402
9305676340
10132202242
1168696557
1238335b16
1321509ca3
14137b4934
15b91607c
hex7e13f02

132202242 has 48 divisors (see below), whose sum is σ = 297498240. Its totient is φ = 42378336.

The previous prime is 132202223. The next prime is 132202249. The reversal of 132202242 is 242202231.

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

It is not an unprimeable number, because it can be changed into a prime (132202249) 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, 241413 + ... + 241959.

It is an arithmetic number, because the mean of its divisors is an integer number (6197880).

Almost surely, 2132202242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132202242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148749120).

132202242 is an abundant number, since it is smaller than the sum of its proper divisors (165295998).

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

132202242 is a wasteful number, since it uses less digits than its factorization.

132202242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1044 counting only the distinct ones).

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

The square root of 132202242 is about 11497.9233777235. The cubic root of 132202242 is about 509.4242406737.

Adding to 132202242 its reverse (242202231), we get a palindrome (374404473).

The spelling of 132202242 in words is "one hundred thirty-two million, two hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 463 522 547 926 1094 1389 1641 2778 3282 4167 4923 8334 9846 13427 15863 26854 31726 40281 47589 80562 95178 120843 142767 241686 253261 285534 506522 759783 1519566 2279349 4558698 7344569 14689138 22033707 44067414 66101121 132202242