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213497856 = 211361113
BaseRepresentation
bin11001011100110…
…11100000000000
3112212201211000000
430232123200000
5414123412411
633104000000
75201462505
oct1456334000
9485654000
10213497856
11aa572110
125b600000
1335301cc0
14204d74ac
1513b23956
hexcb9b800

213497856 has 336 divisors, whose sum is σ = 751940280. Its totient is φ = 59719680.

The previous prime is 213497831. The next prime is 213497861. The reversal of 213497856 is 658794312.

Its product of digits (362880) is a multiple of the sum of its prime factors (64).

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 27 ways as a sum of consecutive naturals, for example, 16422906 + ... + 16422918.

Almost surely, 2213497856 is an apocalyptic number.

213497856 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 213497856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375970140).

213497856 is an abundant number, since it is smaller than the sum of its proper divisors (538442424).

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

213497856 is an equidigital number, since it uses as much as digits as its factorization.

213497856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 213497856 is about 14611.5658298486. The cubic root of 213497856 is about 597.6741960424.

The spelling of 213497856 in words is "two hundred thirteen million, four hundred ninety-seven thousand, eight hundred fifty-six".