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36214144 = 272312301
BaseRepresentation
bin1000101000100…
…1010110000000
32112010212110121
42022021112000
533232323034
63332110024
7616546411
oct212112600
975125417
1036214144
111949524a
1210165314
13766c5b5
144b49808
1532a51b4
hex2289580

36214144 has 32 divisors (see below), whose sum is σ = 75288240. Its totient is φ = 17318400.

The previous prime is 36214109. The next prime is 36214147. The reversal of 36214144 is 44141263.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×362141442 = 2622928451305472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36214147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3207 + ... + 9094.

Almost surely, 236214144 is an apocalyptic number.

It is an amenable number.

36214144 is an abundant number, since it is smaller than the sum of its proper divisors (39074096).

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

36214144 is a wasteful number, since it uses less digits than its factorization.

36214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12338 (or 12326 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 36214144 is about 6017.8188739775. The cubic root of 36214144 is about 330.8461420185.

The spelling of 36214144 in words is "thirty-six million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 12301 24602 49204 98408 196816 282923 393632 565846 787264 1131692 1574528 2263384 4526768 9053536 18107072 36214144