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413221224 = 233132101879
BaseRepresentation
bin11000101000010…
…100000101101000
31001210112210221210
4120220110011220
51321241034344
6105000433120
713145215413
oct3050240550
91053483853
10413221224
111a2286249
12b64787a0
13677c0400
143cc46b7a
1526425db9
hex18a14168

413221224 has 48 divisors (see below), whose sum is σ = 1118642400. Its totient is φ = 127143744.

The previous prime is 413221223. The next prime is 413221273. The reversal of 413221224 is 422122314.

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 413221224.

It is not an unprimeable number, because it can be changed into a prime (413221223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46884 + ... + 54995.

It is an arithmetic number, because the mean of its divisors is an integer number (23305050).

Almost surely, 2413221224 is an apocalyptic number.

It is an amenable number.

413221224 is an abundant number, since it is smaller than the sum of its proper divisors (705421176).

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

413221224 is a wasteful number, since it uses less digits than its factorization.

413221224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101914 (or 101897 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 413221224 is about 20327.8435649235. The cubic root of 413221224 is about 744.8363672271.

Adding to 413221224 its reverse (422122314), we get a palindrome (835343538).

The spelling of 413221224 in words is "four hundred thirteen million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 101879 203758 305637 407516 611274 815032 1222548 1324427 2445096 2648854 3973281 5297708 7946562 10595416 15893124 17217551 31786248 34435102 51652653 68870204 103305306 137740408 206610612 413221224