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22133040 = 243592221
BaseRepresentation
bin101010001101…
…1100100110000
31112122110211020
41110123210300
521131224130
62110215440
7356061546
oct124334460
945573736
1022133040
1111547976
1274b4580
13477c297
142d21d96
151e22e10
hex151b930

22133040 has 40 divisors (see below), whose sum is σ = 68613168. Its totient is φ = 5902080.

The previous prime is 22133021. The next prime is 22133077. The reversal of 22133040 is 4033122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×221330403 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 7 ways as a sum of consecutive naturals, for example, 45871 + ... + 46350.

Almost surely, 222133040 is an apocalyptic number.

22133040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133040 is an abundant number, since it is smaller than the sum of its proper divisors (46480128).

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

22133040 is a wasteful number, since it uses less digits than its factorization.

22133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92237 (or 92231 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 22133040 is about 4704.5764952863. The cubic root of 22133040 is about 280.7676215294.

Adding to 22133040 its reverse (4033122), we get a palindrome (26166162).

It can be divided in two parts, 2213 and 3040, that added together give a triangular number (5253 = T102).

The spelling of 22133040 in words is "twenty-two million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 92221 184442 276663 368884 461105 553326 737768 922210 1106652 1383315 1475536 1844420 2213304 2766630 3688840 4426608 5533260 7377680 11066520 22133040