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214893696 = 273617907
BaseRepresentation
bin11001100111100…
…00010010000000
3112222100201201210
430303300102000
5420003044241
633153530120
75216365143
oct1463602200
9488321653
10214893696
111003358a6
125bb73940
13356a0444
142077c05a
1513cec316
hexccf0480

214893696 has 64 divisors (see below), whose sum is σ = 572366880. Its totient is φ = 71436288.

The previous prime is 214893691. The next prime is 214893697. The reversal of 214893696 is 696398412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (214893691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236475 + ... + 237381.

Almost surely, 2214893696 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 214893696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286183440).

214893696 is an abundant number, since it is smaller than the sum of its proper divisors (357473184).

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

214893696 is an equidigital number, since it uses as much as digits as its factorization.

214893696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1529 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 214893696 is about 14659.2529141154. The cubic root of 214893696 is about 598.9738906107.

It can be divided in two parts, 21 and 4893696, that multiplied together give a triangular number (102767616 = T14336).

The spelling of 214893696 in words is "two hundred fourteen million, eight hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 617 907 1234 1814 1851 2468 2721 3628 3702 4936 5442 7256 7404 9872 10884 14512 14808 19744 21768 29024 29616 39488 43536 58048 59232 78976 87072 116096 118464 174144 236928 348288 559619 1119238 1678857 2238476 3357714 4476952 6715428 8953904 13430856 17907808 26861712 35815616 53723424 71631232 107446848 214893696