Search a number
-
+
216904500 = 22335316067
BaseRepresentation
bin11001110110110…
…11001100110100
3120010010220001000
430323123030310
5421011421000
633305003300
75242441431
oct1473331464
9503126030
10216904500
1110148961a
1260783530
1335c25777
1420b42b88
1514098000
hexcedb334

216904500 has 96 divisors (see below), whose sum is σ = 701850240. Its totient is φ = 57837600.

The previous prime is 216904487. The next prime is 216904511. The reversal of 216904500 is 5409612.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5467 + ... + 21533.

It is an arithmetic number, because the mean of its divisors is an integer number (7310940).

Almost surely, 2216904500 is an apocalyptic number.

216904500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216904500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350925120).

216904500 is an abundant number, since it is smaller than the sum of its proper divisors (484945740).

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

216904500 is a wasteful number, since it uses less digits than its factorization.

216904500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16095 (or 16077 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 216904500 is about 14727.6780247261. The cubic root of 216904500 is about 600.8363337016.

The spelling of 216904500 in words is "two hundred sixteen million, nine hundred four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 675 750 900 1125 1350 1500 2250 2700 3375 4500 6750 13500 16067 32134 48201 64268 80335 96402 144603 160670 192804 241005 289206 321340 401675 433809 482010 578412 723015 803350 867618 964020 1205025 1446030 1606700 1735236 2008375 2169045 2410050 2892060 3615075 4016750 4338090 4820100 6025125 7230150 8033500 8676180 10845225 12050250 14460300 18075375 21690450 24100500 36150750 43380900 54226125 72301500 108452250 216904500