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133144224 = 2534093391
BaseRepresentation
bin1111110111110…
…01111010100000
3100021112102112120
413323321322200
5233041103344
621113424240
73204464403
oct773717240
9307472476
10133144224
116917a254
123870b080
1321779985
141397bd3a
15ba50219
hex7ef9ea0

133144224 has 48 divisors (see below), whose sum is σ = 350461440. Its totient is φ = 44259840.

The previous prime is 133144169. The next prime is 133144243. The reversal of 133144224 is 422441331.

It is a tau number, because it is divible by the number of its divisors (48).

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 a junction number, because it is equal to n+sod(n) for n = 133144194 and 133144203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37569 + ... + 40959.

It is an arithmetic number, because the mean of its divisors is an integer number (7301280).

Almost surely, 2133144224 is an apocalyptic number.

It is an amenable number.

133144224 is an abundant number, since it is smaller than the sum of its proper divisors (217317216).

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

133144224 is a wasteful number, since it uses less digits than its factorization.

133144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3805 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 133144224 is about 11538.8138038535. The cubic root of 133144224 is about 510.6313135416.

Adding to 133144224 its reverse (422441331), we get a palindrome (555585555).

The spelling of 133144224 in words is "one hundred thirty-three million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 409 818 1227 1636 2454 3272 3391 4908 6544 6782 9816 10173 13088 13564 19632 20346 27128 39264 40692 54256 81384 108512 162768 325536 1386919 2773838 4160757 5547676 8321514 11095352 16643028 22190704 33286056 44381408 66572112 133144224