Search a number
-
+
216921528 = 233237107761
BaseRepresentation
bin11001110110111…
…11010110111000
3120010011202101200
430323133112320
5421012442103
633305214200
75242542165
oct1473372670
9503152350
10216921528
111014a039a
1260791360
1335c30445
1420b4906c
151409d0a3
hexcedf5b8

216921528 has 96 divisors (see below), whose sum is σ = 609813360. Its totient is φ = 69603840.

The previous prime is 216921521. The next prime is 216921587. The reversal of 216921528 is 825129612.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216921492 and 216921501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216921521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284668 + ... + 285428.

Almost surely, 2216921528 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 216921528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304906680).

216921528 is an abundant number, since it is smaller than the sum of its proper divisors (392891832).

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

216921528 is a wasteful number, since it uses less digits than its factorization.

216921528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 910 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 216921528 is about 14728.2561085826. The cubic root of 216921528 is about 600.8520560946.

It can be divided in two parts, 21692 and 1528, that added together give a triangular number (23220 = T215).

The spelling of 216921528 in words is "two hundred sixteen million, nine hundred twenty-one thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 107 111 148 214 222 296 321 333 428 444 642 666 761 856 888 963 1284 1332 1522 1926 2283 2568 2664 3044 3852 3959 4566 6088 6849 7704 7918 9132 11877 13698 15836 18264 23754 27396 28157 31672 35631 47508 54792 56314 71262 81427 84471 95016 112628 142524 162854 168942 225256 244281 253413 285048 325708 337884 488562 506826 651416 675768 732843 977124 1013652 1465686 1954248 2027304 2931372 3012799 5862744 6025598 9038397 12051196 18076794 24102392 27115191 36153588 54230382 72307176 108460764 216921528