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215952030 = 23257794339
BaseRepresentation
bin11001101111100…
…10101010011110
3120001100111111100
430313302222132
5420240431110
633232333530
75231363520
oct1467625236
9501314440
10215952030
11100998a58
12603a42a6
1335981088
1420975a10
1513e5abc0
hexcdf2a9e

215952030 has 96 divisors (see below), whose sum is σ = 649958400. Its totient is φ = 48724416.

The previous prime is 215952007. The next prime is 215952047. The reversal of 215952030 is 30259512.

215952030 is a `hidden beast` number, since 21 + 595 + 20 + 30 = 666.

It is a super-2 number, since 2×2159520302 = 93270558522241800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 215951985 and 215952003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47601 + ... + 51939.

It is an arithmetic number, because the mean of its divisors is an integer number (6770400).

Almost surely, 2215952030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215952030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

215952030 is an abundant number, since it is smaller than the sum of its proper divisors (434006370).

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

215952030 is a wasteful number, since it uses less digits than its factorization.

215952030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 215952030 is about 14695.3063935394. The cubic root of 215952030 is about 599.9555800449.

The spelling of 215952030 in words is "two hundred fifteen million, nine hundred fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 79 90 105 126 158 210 237 315 395 474 553 630 711 790 1106 1185 1422 1659 2370 2765 3318 3555 4339 4977 5530 7110 8295 8678 9954 13017 16590 21695 24885 26034 30373 39051 43390 49770 60746 65085 78102 91119 130170 151865 182238 195255 273357 303730 342781 390510 455595 546714 685562 911190 1028343 1366785 1713905 2056686 2399467 2733570 3085029 3427810 4798934 5141715 6170058 7198401 10283430 11997335 14396802 15425145 21595203 23994670 30850290 35992005 43190406 71984010 107976015 215952030