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215151216 = 24375991069
BaseRepresentation
bin11001101001011…
…11001001110000
3112222211210222120
430310233021300
5420034314331
633203234240
75221520010
oct1464571160
9488753876
10215151216
111004a1325
1260078980
1335760717
1420807c40
1513d4d796
hexcd2f270

215151216 has 80 divisors (see below), whose sum is σ = 636864000. Its totient is φ = 61311744.

The previous prime is 215151187. The next prime is 215151227. The reversal of 215151216 is 612151512.

215151216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200730 + ... + 201798.

It is an arithmetic number, because the mean of its divisors is an integer number (7960800).

Almost surely, 2215151216 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 215151216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318432000).

215151216 is an abundant number, since it is smaller than the sum of its proper divisors (421712784).

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

215151216 is a wasteful number, since it uses less digits than its factorization.

215151216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1680 counting only the distinct ones).

The product of its digits is 600, while the sum is 24.

The square root of 215151216 is about 14668.0338150687. The cubic root of 215151216 is about 599.2130572085.

The spelling of 215151216 in words is "two hundred fifteen million, one hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 599 1069 1198 1797 2138 2396 3207 3594 4193 4276 4792 6414 7188 7483 8386 8552 9584 12579 12828 14376 14966 16772 17104 22449 25158 25656 28752 29932 33544 44898 50316 51312 59864 67088 89796 100632 119728 179592 201264 359184 640331 1280662 1920993 2561324 3841986 4482317 5122648 7683972 8964634 10245296 13446951 15367944 17929268 26893902 30735888 35858536 53787804 71717072 107575608 215151216