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213250656 = 25347151313
BaseRepresentation
bin11001011010111…
…11001001100000
3112212021020220110
430231133021200
5414043010111
633054411320
75166413013
oct1455371140
9485236813
10213250656
11aa413413
125b500b40
1335246628
142047137a
1513ac55a6
hexcb5f260

213250656 has 96 divisors (see below), whose sum is σ = 577317888. Its totient is φ = 68889600.

The previous prime is 213250651. The next prime is 213250673. The reversal of 213250656 is 656052312.

213250656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213250651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681156 + ... + 681468.

It is an arithmetic number, because the mean of its divisors is an integer number (6013728).

Almost surely, 2213250656 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 213250656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288658944).

213250656 is an abundant number, since it is smaller than the sum of its proper divisors (364067232).

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

213250656 is a wasteful number, since it uses less digits than its factorization.

213250656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 213250656 is about 14603.1043275052. The cubic root of 213250656 is about 597.4434331934.

The spelling of 213250656 in words is "two hundred thirteen million, two hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 151 188 282 302 313 376 453 564 604 626 752 906 939 1128 1208 1252 1504 1812 1878 2256 2416 2504 3624 3756 4512 4832 5008 7097 7248 7512 10016 14194 14496 14711 15024 21291 28388 29422 30048 42582 44133 47263 56776 58844 85164 88266 94526 113552 117688 141789 170328 176532 189052 227104 235376 283578 340656 353064 378104 470752 567156 681312 706128 756208 1134312 1412256 1512416 2221361 2268624 4442722 4537248 6664083 8885444 13328166 17770888 26656332 35541776 53312664 71083552 106625328 213250656