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215689344 = 2731343207
BaseRepresentation
bin11001101101100…
…10100010000000
3120000212011011020
430312302202000
5420204024334
633222545440
75226220623
oct1466624200
9500764136
10215689344
11100829662
1260298280
13358bb640
1420907dba
1513e07e49
hexcdb2880

215689344 has 64 divisors (see below), whose sum is σ = 617010240. Its totient is φ = 66364416.

The previous prime is 215689339. The next prime is 215689379. The reversal of 215689344 is 443986512.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 215689296 and 215689305.

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 7 ways as a sum of consecutive naturals, for example, 16612 + ... + 26595.

It is an arithmetic number, because the mean of its divisors is an integer number (9640785).

Almost surely, 2215689344 is an apocalyptic number.

215689344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

215689344 is an abundant number, since it is smaller than the sum of its proper divisors (401320896).

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

215689344 is a wasteful number, since it uses less digits than its factorization.

215689344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43237 (or 43225 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 215689344 is about 14686.3659221742. The cubic root of 215689344 is about 599.7122175464.

The spelling of 215689344 in words is "two hundred fifteen million, six hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 43207 86414 129621 172828 259242 345656 518484 561691 691312 1036968 1123382 1382624 1685073 2073936 2246764 2765248 3370146 4147872 4493528 5530496 6740292 8295744 8987056 13480584 16591488 17974112 26961168 35948224 53922336 71896448 107844672 215689344