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132122200 = 23527194967
BaseRepresentation
bin1111110000000…
…00011001011000
3100012121111120211
413320000121120
5232310402300
621035500504
73163006630
oct770003130
9305544524
10132122200
1168641401
12382b7734
13214ac722
14137936c0
15b8ec4ba
hex7e00658

132122200 has 96 divisors (see below), whose sum is σ = 369619200. Its totient is φ = 42906240.

The previous prime is 132122171. The next prime is 132122233. The reversal of 132122200 is 2221231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24117 + ... + 29083.

It is an arithmetic number, because the mean of its divisors is an integer number (3850200).

Almost surely, 2132122200 is an apocalyptic number.

132122200 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 132122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184809600).

132122200 is an abundant number, since it is smaller than the sum of its proper divisors (237497000).

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

132122200 is a wasteful number, since it uses less digits than its factorization.

132122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 132122200 is about 11494.4421352234. The cubic root of 132122200 is about 509.3214094197.

Adding to 132122200 its reverse (2221231), we get a palindrome (134343431).

The spelling of 132122200 in words is "one hundred thirty-two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 380 475 532 665 700 760 950 1064 1330 1400 1900 2660 3325 3800 4967 5320 6650 9934 13300 19868 24835 26600 34769 39736 49670 69538 94373 99340 124175 139076 173845 188746 198680 248350 278152 347690 377492 471865 496700 660611 695380 754984 869225 943730 993400 1321222 1390760 1738450 1887460 2359325 2642444 3303055 3476900 3774920 4718650 5284888 6606110 6953800 9437300 13212220 16515275 18874600 26424440 33030550 66061100 132122200