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214544096 = 25134710973
BaseRepresentation
bin11001100100110…
…10111011100000
3112221200222011122
430302122323200
5414410402341
633142231412
75213410664
oct1462327340
9487628148
10214544096
11100117178
125ba25568
13355aa290
14206ca8a4
1513c7d94b
hexcc9aee0

214544096 has 48 divisors (see below), whose sum is σ = 464595264. Its totient is φ = 96904704.

The previous prime is 214544051. The next prime is 214544101. The reversal of 214544096 is 690445412.

214544096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14066 + ... + 25038.

It is an arithmetic number, because the mean of its divisors is an integer number (9679068).

Almost surely, 2214544096 is an apocalyptic number.

214544096 is a gapful number since it is divisible by the number (26) 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 214544096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232297632).

214544096 is an abundant number, since it is smaller than the sum of its proper divisors (250051168).

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

214544096 is a wasteful number, since it uses less digits than its factorization.

214544096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11043 (or 11035 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 214544096 is about 14647.3238511340. The cubic root of 214544096 is about 598.6489005750.

The spelling of 214544096 in words is "two hundred fourteen million, five hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 1222 1504 2444 4888 9776 10973 19552 21946 43892 87784 142649 175568 285298 351136 515731 570596 1031462 1141192 2062924 2282384 4125848 4564768 6704503 8251696 13409006 16503392 26818012 53636024 107272048 214544096