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215338648 = 23731163761
BaseRepresentation
bin11001101010111…
…00111010011000
3120000012100002111
430311130322120
5420111314043
633211242104
75223230320
oct1465347230
9500170074
10215338648
1110060a128
1260149334
13357c7b25
1420856280
1513d8909d
hexcd5ce98

215338648 has 64 divisors (see below), whose sum is σ = 479877120. Its totient is φ = 88646400.

The previous prime is 215338639. The next prime is 215338649. The reversal of 215338648 is 846833512.

It is a self number, because there is not a number n which added to its sum of digits gives 215338648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215338649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282588 + ... + 283348.

It is an arithmetic number, because the mean of its divisors is an integer number (7498080).

Almost surely, 2215338648 is an apocalyptic number.

215338648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215338648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239938560).

215338648 is an abundant number, since it is smaller than the sum of its proper divisors (264538472).

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

215338648 is a wasteful number, since it uses less digits than its factorization.

215338648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 964 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 215338648 is about 14674.4215558911. The cubic root of 215338648 is about 599.3870109911.

The spelling of 215338648 in words is "two hundred fifteen million, three hundred thirty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 163 217 248 326 434 652 761 868 1141 1304 1522 1736 2282 3044 4564 5053 5327 6088 9128 10106 10654 20212 21308 23591 35371 40424 42616 47182 70742 94364 124043 141484 165137 188728 248086 282968 330274 496172 660548 868301 992344 1321096 1736602 3473204 3845333 6946408 7690666 15381332 26917331 30762664 53834662 107669324 215338648