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213678496 = 2529230257
BaseRepresentation
bin11001011110001…
…11100110100000
3112220001222210101
430233013212200
5414200202441
633111512144
75203144243
oct1457074640
9486058711
10213678496
11aa6858a9
125b688654
13353662a5
142054325a
1513b5c231
hexcbc79a0

213678496 has 24 divisors (see below), whose sum is σ = 435187620. Its totient is φ = 103154688.

The previous prime is 213678473. The next prime is 213678499. The reversal of 213678496 is 694876312.

213678496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 205635600 + 8042896 = 14340^2 + 2836^2 .

It is not an unprimeable number, because it can be changed into a prime (213678499) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114201 + ... + 116056.

Almost surely, 2213678496 is an apocalyptic number.

It is an amenable number.

213678496 is an abundant number, since it is smaller than the sum of its proper divisors (221509124).

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

213678496 is a wasteful number, since it uses less digits than its factorization.

213678496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230296 (or 230288 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 213678496 is about 14617.7459274678. The cubic root of 213678496 is about 597.8427120700.

The spelling of 213678496 in words is "two hundred thirteen million, six hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 230257 460514 921028 1842056 3684112 6677453 7368224 13354906 26709812 53419624 106839248 213678496