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41214222 = 23271771271
BaseRepresentation
bin1001110100111…
…0000100001110
32212112220021200
42131032010032
541022323342
64031210330
71010213040
oct235160416
985486250
1041214222
112129a945
12119769a6
13870041a
14568ba90
15394194c
hex274e10e

41214222 has 96 divisors (see below), whose sum is σ = 109983744. Its totient is φ = 10886400.

The previous prime is 41214203. The next prime is 41214281. The reversal of 41214222 is 22241214.

It is a super-2 number, since 2×412142222 = 3397224190130568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 41214195 and 41214204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151947 + ... + 152217.

It is an arithmetic number, because the mean of its divisors is an integer number (1145664).

Almost surely, 241214222 is an apocalyptic number.

41214222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41214222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54991872).

41214222 is an abundant number, since it is smaller than the sum of its proper divisors (68769522).

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

41214222 is a wasteful number, since it uses less digits than its factorization.

41214222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 371 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 41214222 is about 6419.8303715908. The cubic root of 41214222 is about 345.4212372024.

Adding to 41214222 its reverse (22241214), we get a palindrome (63455436).

It can be divided in two parts, 412142 and 22, that added together give a square (412164 = 6422).

The spelling of 41214222 in words is "forty-one million, two hundred fourteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 71 102 119 126 142 153 213 238 271 306 357 426 497 542 639 714 813 994 1071 1207 1278 1491 1626 1897 2142 2414 2439 2982 3621 3794 4473 4607 4878 5691 7242 8449 8946 9214 10863 11382 13821 16898 17073 19241 21726 25347 27642 32249 34146 38482 41463 50694 57723 64498 76041 82926 96747 115446 134687 152082 173169 193494 269374 290241 327097 346338 404061 580482 654194 808122 981291 1212183 1962582 2289679 2424366 2943873 4579358 5887746 6869037 13738074 20607111 41214222