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41233224 = 23331157353
BaseRepresentation
bin1001110101001…
…0101101001000
32212120212100110
42131102231020
541023430344
64031434320
71010322324
oct235225510
985525313
1041233224
112130314a
12119859a0
138708c76
145694984
1539473b9
hex2752b48

41233224 has 64 divisors (see below), whose sum is σ = 107389440. Its totient is φ = 13178880.

The previous prime is 41233219. The next prime is 41233229. The reversal of 41233224 is 42233214.

It is an interprime number because it is at equal distance from previous prime (41233219) and next prime (41233229).

It is a super-2 number, since 2×412332242 = 3400357522868352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41233224.

It is not an unprimeable number, because it can be changed into a prime (41233229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116632 + ... + 116984.

It is an arithmetic number, because the mean of its divisors is an integer number (1677960).

Almost surely, 241233224 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 41233224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53694720).

41233224 is an abundant number, since it is smaller than the sum of its proper divisors (66156216).

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

41233224 is a wasteful number, since it uses less digits than its factorization.

41233224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 546 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 41233224 is about 6421.3101466912. The cubic root of 41233224 is about 345.4743150442.

Adding to 41233224 its reverse (42233214), we get a palindrome (83466438).

The spelling of 41233224 in words is "forty-one million, two hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 157 186 248 314 353 372 471 628 706 744 942 1059 1256 1412 1884 2118 2824 3768 4236 4867 8472 9734 10943 14601 19468 21886 29202 32829 38936 43772 55421 58404 65658 87544 110842 116808 131316 166263 221684 262632 332526 443368 665052 1330104 1718051 3436102 5154153 6872204 10308306 13744408 20616612 41233224