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213149856 = 2532220311
BaseRepresentation
bin11001011010001…
…10100010100000
3112212002010122010
430231012202200
5414031243411
633052312520
75165513103
oct1455064240
9485063563
10213149856
11aa354707
125b472740
133520c79a
142044673a
1513aa57a6
hexcb468a0

213149856 has 24 divisors (see below), whose sum is σ = 559518624. Its totient is φ = 71049920.

The previous prime is 213149851. The next prime is 213149861. The reversal of 213149856 is 658941312.

213149856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213149851) and next prime (213149861).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2131498562 = 90865722225641472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213149851) by changing a digit.

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, 1110060 + ... + 1110251.

It is an arithmetic number, because the mean of its divisors is an integer number (23313276).

Almost surely, 2213149856 is an apocalyptic number.

It is an amenable number.

213149856 is an abundant number, since it is smaller than the sum of its proper divisors (346368768).

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

213149856 is a wasteful number, since it uses less digits than its factorization.

213149856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220324 (or 2220316 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 213149856 is about 14599.6525986066. The cubic root of 213149856 is about 597.3492845354.

The spelling of 213149856 in words is "two hundred thirteen million, one hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2220311 4440622 6660933 8881244 13321866 17762488 26643732 35524976 53287464 71049952 106574928 213149856