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215828064 = 253483267
BaseRepresentation
bin11001101110101…
…00011001100000
3120001010012110000
430313110121200
5420222444224
633225540000
75230336224
oct1467243140
9501105400
10215828064
11100913901
1260344600
133593981a
1420942784
1513e340c9
hexcdd4660

215828064 has 60 divisors (see below), whose sum is σ = 634751964. Its totient is φ = 71941824.

The previous prime is 215828047. The next prime is 215828071. The reversal of 215828064 is 460828512.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39042 + ... + 44225.

Almost surely, 2215828064 is an apocalyptic number.

215828064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

215828064 is an abundant number, since it is smaller than the sum of its proper divisors (418923900).

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

215828064 is an equidigital number, since it uses as much as digits as its factorization.

215828064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83289 (or 83272 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 215828064 is about 14691.0879107029. The cubic root of 215828064 is about 599.8407577402.

It can be divided in two parts, 21582 and 8064, that added together give a triangular number (29646 = T243).

The spelling of 215828064 in words is "two hundred fifteen million, eight hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 83267 166534 249801 333068 499602 666136 749403 999204 1332272 1498806 1998408 2248209 2664544 2997612 3996816 4496418 5995224 6744627 7993632 8992836 11990448 13489254 17985672 23980896 26978508 35971344 53957016 71942688 107914032 215828064