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221424450 = 235213234937
BaseRepresentation
bin11010011001010…
…10101101000010
3120102122112020120
431030222231002
5423141040300
633545521110
75326035222
oct1514525502
9512575216
10221424450
11103a96515
12621a3196
1336b48bb0
142159c082
151468c3a0
hexd32ab42

221424450 has 96 divisors (see below), whose sum is σ = 617210496. Its totient is φ = 52124160.

The previous prime is 221424443. The next prime is 221424491. The reversal of 221424450 is 54424122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221424450.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42382 + ... + 47318.

It is an arithmetic number, because the mean of its divisors is an integer number (6429276).

Almost surely, 2221424450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221424450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308605248).

221424450 is an abundant number, since it is smaller than the sum of its proper divisors (395786046).

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

221424450 is a wasteful number, since it uses less digits than its factorization.

221424450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 221424450 is about 14880.3376977809. The cubic root of 221424450 is about 604.9811710098.

Adding to 221424450 its reverse (54424122), we get a palindrome (275848572).

The spelling of 221424450 in words is "two hundred twenty-one million, four hundred twenty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 23 25 26 30 39 46 50 65 69 75 78 115 130 138 150 195 230 299 325 345 390 575 598 650 690 897 975 1150 1495 1725 1794 1950 2990 3450 4485 4937 7475 8970 9874 14811 14950 22425 24685 29622 44850 49370 64181 74055 113551 123425 128362 148110 192543 227102 246850 320905 340653 370275 385086 567755 641810 681306 740550 962715 1135510 1476163 1604525 1703265 1925430 2838775 2952326 3209050 3406530 4428489 4813575 5677550 7380815 8516325 8856978 9627150 14761630 17032650 22142445 36904075 44284890 73808150 110712225 221424450