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214061112 = 233273139293
BaseRepresentation
bin11001100001001…
…01000000111000
3112220210102122100
430300211000320
5414244423422
633124023400
75206326606
oct1460450070
9486712570
10214061112
11aa917311
125b831b60
133546b4a5
1420602876
1513bd57ac
hexcc25038

214061112 has 96 divisors (see below), whose sum is σ = 593938800. Its totient is φ = 69631488.

The previous prime is 214061063. The next prime is 214061129. The reversal of 214061112 is 211160412.

214061112 is a `hidden beast` number, since 2 + 1 + 40 + 611 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 730438 + ... + 730730.

Almost surely, 2214061112 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 214061112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296969400).

214061112 is an abundant number, since it is smaller than the sum of its proper divisors (379877688).

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

214061112 is a wasteful number, since it uses less digits than its factorization.

214061112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 214061112 is about 14630.8274543855. The cubic root of 214061112 is about 598.1993347471.

The spelling of 214061112 in words is "two hundred fourteen million, sixty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 139 146 219 278 292 293 417 438 556 584 586 657 834 876 879 1112 1172 1251 1314 1668 1752 1758 2344 2502 2628 2637 3336 3516 5004 5256 5274 7032 10008 10147 10548 20294 21096 21389 30441 40588 40727 42778 60882 64167 81176 81454 85556 91323 121764 122181 128334 162908 171112 182646 192501 243528 244362 256668 325816 365292 366543 385002 488724 513336 730584 733086 770004 977448 1466172 1540008 2932344 2973071 5946142 8919213 11892284 17838426 23784568 26757639 35676852 53515278 71353704 107030556 214061112