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216539244 = 223837223
BaseRepresentation
bin11001110100000…
…10000001101100
3120002110100000000
430322002001230
5420413223434
633253104300
75236360515
oct1472020154
9502410000
10216539244
1110125a159
1260628090
1335b2843c
1420a89a0c
1514024b99
hexce8206c

216539244 has 108 divisors (see below), whose sum is σ = 586366144. Its totient is φ = 69914016.

The previous prime is 216539231. The next prime is 216539261. The reversal of 216539244 is 442935612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

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

Its product of digits (51840) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 216539199 and 216539208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 970917 + ... + 971139.

Almost surely, 2216539244 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 216539244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293183072).

216539244 is an abundant number, since it is smaller than the sum of its proper divisors (369826900).

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

216539244 is an equidigital number, since it uses as much as digits as its factorization.

216539244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 216539244 is about 14715.2724745415. The cubic root of 216539244 is about 600.4988850745.

The spelling of 216539244 in words is "two hundred sixteen million, five hundred thirty-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 223 243 324 333 444 446 486 666 669 729 892 972 999 1332 1338 1458 1998 2007 2187 2676 2916 2997 3996 4014 4374 5994 6021 6561 8028 8251 8748 8991 11988 12042 13122 16502 17982 18063 24084 24753 26244 26973 33004 35964 36126 49506 53946 54189 72252 74259 80919 99012 107892 108378 148518 161838 162567 216756 222777 242757 297036 323676 325134 445554 485514 487701 650268 668331 891108 971028 975402 1336662 1463103 1950804 2004993 2673324 2926206 4009986 5852412 6014979 8019972 12029958 18044937 24059916 36089874 54134811 72179748 108269622 216539244