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216561648 = 2434799419
BaseRepresentation
bin11001110100001…
…11011111110000
3120002111110201210
430322013133300
5420414433043
633253400120
75236513032
oct1472073760
9502443653
10216561648
11101274a76
1260639040
1335b356b4
1420a93c52
151402b633
hexce877f0

216561648 has 40 divisors (see below), whose sum is σ = 560678400. Its totient is φ = 72028864.

The previous prime is 216561643. The next prime is 216561661. The reversal of 216561648 is 846165612.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216561641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18283 + ... + 27701.

It is an arithmetic number, because the mean of its divisors is an integer number (14016960).

Almost surely, 2216561648 is an apocalyptic number.

It is an amenable number.

216561648 is an abundant number, since it is smaller than the sum of its proper divisors (344116752).

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

216561648 is a wasteful number, since it uses less digits than its factorization.

216561648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9909 (or 9903 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 216561648 is about 14716.0337047725. The cubic root of 216561648 is about 600.5195943507.

The spelling of 216561648 in words is "two hundred sixteen million, five hundred sixty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 479 958 1437 1916 2874 3832 5748 7664 9419 11496 18838 22992 28257 37676 56514 75352 113028 150704 226056 452112 4511701 9023402 13535103 18046804 27070206 36093608 54140412 72187216 108280824 216561648