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215696896 = 292973199
BaseRepresentation
bin11001101101101…
…00011000000000
3120000212112111221
430312310120000
5420204300041
633223044424
75226251632
oct1466643000
9500775457
10215696896
111008342a8
12602a0714
13358c1bcc
142090aa52
1513e0a2d1
hexcdb4600

215696896 has 80 divisors (see below), whose sum is σ = 454212000. Its totient is φ = 102187008.

The previous prime is 215696891. The next prime is 215696933. The reversal of 215696896 is 698696512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215696891) 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 7 ways as a sum of consecutive naturals, for example, 1083805 + ... + 1084003.

It is an arithmetic number, because the mean of its divisors is an integer number (5677650).

Almost surely, 2215696896 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 215696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227106000).

215696896 is an abundant number, since it is smaller than the sum of its proper divisors (238515104).

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

215696896 is an equidigital number, since it uses as much as digits as its factorization.

215696896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 303 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 52.

The square root of 215696896 is about 14686.6230291378. The cubic root of 215696896 is about 599.7192167699.

The spelling of 215696896 in words is "two hundred fifteen million, six hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 128 146 199 232 256 292 398 464 512 584 796 928 1168 1592 1856 2117 2336 3184 3712 4234 4672 5771 6368 7424 8468 9344 11542 12736 14527 14848 16936 18688 23084 25472 29054 33872 37376 46168 50944 58108 67744 92336 101888 116216 135488 184672 232432 270976 369344 421283 464864 541952 738688 842566 929728 1083904 1477376 1685132 1859456 2954752 3370264 3718912 6740528 7437824 13481056 26962112 53924224 107848448 215696896