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216715072 = 267974987
BaseRepresentation
bin11001110101011…
…00111101000000
3120002210021012011
430322230331000
5420434340242
633300542304
75241022240
oct1472547500
9502707164
10216715072
1110136a272
12606b1994
1335b8a492
1420ad3b20
151405bd17
hexceacf40

216715072 has 56 divisors (see below), whose sum is σ = 496645184. Its totient is φ = 91901952.

The previous prime is 216715069. The next prime is 216715097. The reversal of 216715072 is 270517612.

216715072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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, 40963 + ... + 45949.

It is an arithmetic number, because the mean of its divisors is an integer number (8868664).

Almost surely, 2216715072 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 216715072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248322592).

216715072 is an abundant number, since it is smaller than the sum of its proper divisors (279930112).

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

216715072 is an equidigital number, since it uses as much as digits as its factorization.

216715072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5103 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 216715072 is about 14721.2455994729. The cubic root of 216715072 is about 600.6613744090.

The spelling of 216715072 in words is "two hundred sixteen million, seven hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 388 448 679 776 1358 1552 2716 3104 4987 5432 6208 9974 10864 19948 21728 34909 39896 43456 69818 79792 139636 159584 279272 319168 483739 558544 967478 1117088 1934956 2234176 3386173 3869912 6772346 7739824 13544692 15479648 27089384 30959296 54178768 108357536 216715072