Search a number
-
+
216230616 = 233271725237
BaseRepresentation
bin11001110001101…
…10101011011000
3120001212122122100
430320312223120
5420323334431
633242323400
75233633650
oct1470665330
9501778570
10216230616
11101069298
12604b9560
1335a4ab14
1420a09360
1513eb34e6
hexce36ad8

216230616 has 96 divisors (see below), whose sum is σ = 708683040. Its totient is φ = 58143744.

The previous prime is 216230563. The next prime is 216230647. The reversal of 216230616 is 616032612.

216230616 is a `hidden beast` number, since 2 + 16 + 2 + 30 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 216230616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4051 + ... + 21186.

It is an arithmetic number, because the mean of its divisors is an integer number (7382115).

Almost surely, 2216230616 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 216230616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354341520).

216230616 is an abundant number, since it is smaller than the sum of its proper divisors (492452424).

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

216230616 is a wasteful number, since it uses less digits than its factorization.

216230616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25273 (or 25266 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 216230616 is about 14704.7820793101. The cubic root of 216230616 is about 600.2134573842.

The spelling of 216230616 in words is "two hundred sixteen million, two hundred thirty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 25237 50474 75711 100948 151422 176659 201896 227133 302844 353318 429029 454266 529977 605688 706636 858058 908532 1059954 1287087 1413272 1589931 1716116 1817064 2119908 2574174 3003203 3179862 3432232 3861261 4239816 5148348 6006406 6359724 7722522 9009609 10296696 12012812 12719448 15445044 18019218 24025624 27028827 30890088 36038436 54057654 72076872 108115308 216230616