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214949888 = 213191381
BaseRepresentation
bin11001100111111…
…10000000000000
3112222110120210222
430303332000000
5420011344023
633155042212
75220021026
oct1463760000
9488416728
10214949888
1110037403a
125bba0368
13356bcbaa
1420794716
1513d0dcc8
hexccfe000

214949888 has 56 divisors (see below), whose sum is σ = 452826120. Its totient is φ = 101744640.

The previous prime is 214949879. The next prime is 214949897. The reversal of 214949888 is 888949412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214949879) and next prime (214949897).

It is a zygodrome in base 2.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 154958 + ... + 156338.

Almost surely, 2214949888 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 214949888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226413060).

214949888 is an abundant number, since it is smaller than the sum of its proper divisors (237876232).

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

214949888 is an equidigital number, since it uses as much as digits as its factorization.

214949888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1402 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 53.

The square root of 214949888 is about 14661.1693940149. The cubic root of 214949888 is about 599.0260941082.

The spelling of 214949888 in words is "two hundred fourteen million, nine hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 1381 2048 2432 2762 4096 4864 5524 8192 9728 11048 19456 22096 26239 38912 44192 52478 77824 88384 104956 155648 176768 209912 353536 419824 707072 839648 1414144 1679296 2828288 3358592 5656576 6717184 11313152 13434368 26868736 53737472 107474944 214949888