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41220114 = 231335359
BaseRepresentation
bin1001110100111…
…1100000010010
32212120012100220
42131033200102
541023020424
64031253510
71010236155
oct235174022
985505326
1041220114
11212a4311
121197a296
138703000
14568dc9c
153943579
hex274f812

41220114 has 64 divisors (see below), whose sum is σ = 92534400. Its totient is φ = 12232896.

The previous prime is 41220103. The next prime is 41220133. The reversal of 41220114 is 41102214.

It is a junction number, because it is equal to n+sod(n) for n = 41220093 and 41220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698617 + ... + 698675.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 241220114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41220114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267200).

41220114 is an abundant number, since it is smaller than the sum of its proper divisors (51314286).

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

41220114 is a wasteful number, since it uses less digits than its factorization.

41220114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 41220114 is about 6420.2892458206. The cubic root of 41220114 is about 345.4376969328.

Adding to 41220114 its reverse (41102214), we get a palindrome (82322328).

The spelling of 41220114 in words is "forty-one million, two hundred twenty thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 53 59 78 106 118 159 169 177 318 338 354 507 689 767 1014 1378 1534 2067 2197 2301 3127 4134 4394 4602 6254 6591 8957 9381 9971 13182 17914 18762 19942 26871 29913 40651 53742 59826 81302 116441 121953 129623 232882 243906 259246 349323 388869 528463 698646 777738 1056926 1585389 3170778 6870019 13740038 20610057 41220114