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215088896 = 2811174493
BaseRepresentation
bin11001101000111…
…11111100000000
3112222201122111102
430310133330000
5420030321041
633202033532
75221140221
oct1464377400
9488648442
10215088896
11100459520
12600488a8
133573b249
14207cd248
1513d3a09b
hexcd1ff00

215088896 has 72 divisors (see below), whose sum is σ = 496029744. Its totient is φ = 91996160.

The previous prime is 215088889. The next prime is 215088931. The reversal of 215088896 is 698880512.

215088896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 215088896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45626 + ... + 50118.

It is an arithmetic number, because the mean of its divisors is an integer number (6889302).

Almost surely, 2215088896 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 215088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248014872).

215088896 is an abundant number, since it is smaller than the sum of its proper divisors (280940848).

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

215088896 is a wasteful number, since it uses less digits than its factorization.

215088896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 47.

The square root of 215088896 is about 14665.9093137794. The cubic root of 215088896 is about 599.1551962545.

The spelling of 215088896 in words is "two hundred fifteen million, eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 544 704 748 1088 1408 1496 2176 2816 2992 4352 4493 5984 8986 11968 17972 23936 35944 47872 49423 71888 76381 98846 143776 152762 197692 287552 305524 395384 575104 611048 790768 840191 1150208 1222096 1581536 1680382 2444192 3163072 3360764 4888384 6326144 6721528 9776768 12652288 13443056 19553536 26886112 53772224 107544448 215088896