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10850216 = 2313172192
BaseRepresentation
bin101001011000…
…111110101000
3202102020200212
4221120332220
510234201331
61024320252
7161140166
oct51307650
922366625
1010850216
116140a23
123773088
13232b860
141626236
15e44d2b
hexa58fa8

10850216 has 72 divisors (see below), whose sum is σ = 24563070. Its totient is φ = 4465152.

The previous prime is 10850183. The next prime is 10850219. The reversal of 10850216 is 61205801.

10850216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9947716 + 902500 = 3154^2 + 950^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10850191 and 10850200.

It is not an unprimeable number, because it can be changed into a prime (10850219) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 571055 + ... + 571073.

Almost surely, 210850216 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 10850216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12281535).

10850216 is an abundant number, since it is smaller than the sum of its proper divisors (13712854).

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

10850216 is a wasteful number, since it uses less digits than its factorization.

10850216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 10850216 is about 3293.9666057809. The cubic root of 10850216 is about 221.3839479574.

The spelling of 10850216 in words is "ten million, eight hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 221 247 289 323 361 442 494 578 646 722 884 988 1156 1292 1444 1768 1976 2312 2584 2888 3757 4199 4693 5491 6137 7514 8398 9386 10982 12274 15028 16796 18772 21964 24548 30056 33592 37544 43928 49096 71383 79781 104329 142766 159562 208658 285532 319124 417316 571064 638248 834632 1356277 2712554 5425108 10850216