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216690448 = 24132127631
BaseRepresentation
bin11001110101001…
…10111100010000
3120002202000102011
430322212330100
5420433043243
633300232304
75240560402
oct1472467420
9502660364
10216690448
11101352817
126069b694
1335b7c200
1420ac8b72
151405489d
hexcea6f10

216690448 has 60 divisors (see below), whose sum is σ = 458923008. Its totient is φ = 99066240.

The previous prime is 216690433. The next prime is 216690457. The reversal of 216690448 is 844096612.

216690448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 216690448.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343093 + ... + 343723.

Almost surely, 2216690448 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 216690448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229461504).

216690448 is an abundant number, since it is smaller than the sum of its proper divisors (242232560).

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

216690448 is a wasteful number, since it uses less digits than its factorization.

216690448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 216690448 is about 14720.4092334418. The cubic root of 216690448 is about 600.6386237288.

The spelling of 216690448 in words is "two hundred sixteen million, six hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 127 169 208 254 338 508 631 676 1016 1262 1352 1651 2032 2524 2704 3302 5048 6604 8203 10096 13208 16406 21463 26416 32812 42926 65624 80137 85852 106639 131248 160274 171704 213278 320548 343408 426556 641096 853112 1041781 1282192 1706224 2083562 4167124 8334248 13543153 16668496 27086306 54172612 108345224 216690448