Search a number
-
+
216122550 = 23527375563
BaseRepresentation
bin11001110000111…
…00010010110110
3120001200011101220
430320130102312
5420311410200
633240131210
75233003620
oct1470342266
9501604356
10216122550
11100aa5086
1260466b06
1335a10887
14209bbc10
1513e914a0
hexce1c4b6

216122550 has 96 divisors (see below), whose sum is σ = 629221632. Its totient is φ = 48055680.

The previous prime is 216122539. The next prime is 216122551. The reversal of 216122550 is 55221612.

It is a happy number.

216122550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216122550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216122551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36069 + ... + 41631.

It is an arithmetic number, because the mean of its divisors is an integer number (6554392).

Almost surely, 2216122550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216122550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314610816).

216122550 is an abundant number, since it is smaller than the sum of its proper divisors (413099082).

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

216122550 is a wasteful number, since it uses less digits than its factorization.

216122550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 216122550 is about 14701.1071011676. The cubic root of 216122550 is about 600.1134507691.

The spelling of 216122550 in words is "two hundred sixteen million, one hundred twenty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 37 42 50 70 74 75 105 111 150 175 185 210 222 259 350 370 518 525 555 777 925 1050 1110 1295 1554 1850 2590 2775 3885 5550 5563 6475 7770 11126 12950 16689 19425 27815 33378 38850 38941 55630 77882 83445 116823 139075 166890 194705 205831 233646 278150 389410 411662 417225 584115 617493 834450 973525 1029155 1168230 1234986 1440817 1947050 2058310 2881634 2920575 3087465 4322451 5145775 5841150 6174930 7204085 8644902 10291550 14408170 15437325 21612255 30874650 36020425 43224510 72040850 108061275 216122550