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215249364 = 2232112323633
BaseRepresentation
bin11001101010001…
…11000111010100
3120000000210121200
430311013013110
5420100434424
633205312500
75222406111
oct1465070724
9500023550
10215249364
11100559040
1260105730
13357962b5
1420831908
1513d6c8c9
hexcd471d4

215249364 has 72 divisors (see below), whose sum is σ = 619399872. Its totient is φ = 62388480.

The previous prime is 215249327. The next prime is 215249369. The reversal of 215249364 is 463942512.

It is a happy number.

215249364 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215249369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709 + ... + 20924.

It is an arithmetic number, because the mean of its divisors is an integer number (8602776).

Almost surely, 2215249364 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 215249364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309699936).

215249364 is an abundant number, since it is smaller than the sum of its proper divisors (404150508).

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

215249364 is a wasteful number, since it uses less digits than its factorization.

215249364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23677 (or 23672 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 215249364 is about 14671.3790762832. The cubic root of 215249364 is about 599.3041599898.

The spelling of 215249364 in words is "two hundred fifteen million, two hundred forty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 23633 47266 70899 94532 141798 212697 259963 283596 425394 519926 543559 779889 850788 1039852 1087118 1559778 1630677 2174236 2339667 3119556 3261354 4679334 4892031 5979149 6522708 9358668 9784062 11958298 17937447 19568124 23916596 35874894 53812341 71749788 107624682 215249364