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132224136 = 233114011249
BaseRepresentation
bin1111110000110…
…01010010001000
3100012210200102020
413320121102020
5232322133021
621042004440
73163613052
oct770312210
9305720366
10132224136
1168700a50
1238346720
1321516c45
14137bc8d2
15b91c7c6
hex7e19488

132224136 has 64 divisors (see below), whose sum is σ = 361800000. Its totient is φ = 39936000.

The previous prime is 132224129. The next prime is 132224153. The reversal of 132224136 is 631422231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105240 + ... + 106488.

It is an arithmetic number, because the mean of its divisors is an integer number (5653125).

Almost surely, 2132224136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132224136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180900000).

132224136 is an abundant number, since it is smaller than the sum of its proper divisors (229575864).

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

132224136 is a wasteful number, since it uses less digits than its factorization.

132224136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1666 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 132224136 is about 11498.8754232751. The cubic root of 132224136 is about 509.4523610205.

Adding to 132224136 its reverse (631422231), we get a palindrome (763646367).

The spelling of 132224136 in words is "one hundred thirty-two million, two hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 401 802 1203 1249 1604 2406 2498 3208 3747 4411 4812 4996 7494 8822 9624 9992 13233 13739 14988 17644 26466 27478 29976 35288 41217 52932 54956 82434 105864 109912 164868 329736 500849 1001698 1502547 2003396 3005094 4006792 5509339 6010188 11018678 12020376 16528017 22037356 33056034 44074712 66112068 132224136