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215088828 = 223172109569
BaseRepresentation
bin11001101000111…
…11111010111100
3112222201122101220
430310133322330
5420030320303
633202033340
75221140063
oct1464377274
9488648356
10215088828
11100459469
1260048850
133573b1c6
14207cd1da
1513d3a053
hexcd1febc

215088828 has 72 divisors (see below), whose sum is σ = 538969200. Its totient is φ = 66742272.

The previous prime is 215088817. The next prime is 215088857. The reversal of 215088828 is 828880512.

It is a self number, because there is not a number n which added to its sum of digits gives 215088828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377728 + ... + 378296.

Almost surely, 2215088828 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 215088828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269484600).

215088828 is an abundant number, since it is smaller than the sum of its proper divisors (323880372).

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

215088828 is a wasteful number, since it uses less digits than its factorization.

215088828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 215088828 is about 14665.9069954776. The cubic root of 215088828 is about 599.1551331139.

The spelling of 215088828 in words is "two hundred fifteen million, eighty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 109 204 218 289 327 436 569 578 654 867 1138 1156 1308 1707 1734 1853 2276 3414 3468 3706 5559 6828 7412 9673 11118 19346 22236 29019 31501 38692 58038 62021 63002 94503 116076 124042 126004 164441 186063 189006 248084 328882 372126 378012 493323 657764 744252 986646 1054357 1973292 2108714 3163071 4217428 6326142 12652284 17924069 35848138 53772207 71696276 107544414 215088828