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201303221224 = 23741199440581
BaseRepresentation
bin1011101101111010011…
…0110110001111101000
3201020121011112011221011
42323132212312033220
511244232111034344
6232251042353304
720354324101540
oct2733646661750
9636534464834
10201303221224
1178410469636
123302005b834
1315ca13143b1
149a59200320
155382a9dd34
hex2ede9b63e8

201303221224 has 64 divisors (see below), whose sum is σ = 444106656000. Its totient is φ = 83745446400.

The previous prime is 201303221191. The next prime is 201303221243. The reversal of 201303221224 is 422122303102.

It is a junction number, because it is equal to n+sod(n) for n = 201303221195 and 201303221204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236614 + ... + 677194.

It is an arithmetic number, because the mean of its divisors is an integer number (6939166500).

Almost surely, 2201303221224 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 201303221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222053328000).

201303221224 is an abundant number, since it is smaller than the sum of its proper divisors (242803434776).

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

201303221224 is a wasteful number, since it uses less digits than its factorization.

201303221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440834 (or 440830 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 201303221224 its reverse (422122303102), we get a palindrome (623425524326).

The spelling of 201303221224 in words is "two hundred one billion, three hundred three million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 199 287 328 398 574 796 1148 1393 1592 2296 2786 5572 8159 11144 16318 32636 57113 65272 114226 228452 440581 456904 881162 1762324 3084067 3524648 6168134 12336268 18063821 24672536 36127642 72255284 87675619 126446747 144510568 175351238 252893494 350702476 505786988 613729333 701404952 1011573976 1227458666 2454917332 3594700379 4909834664 7189400758 14378801516 25162902653 28757603032 50325805306 100651610612 201303221224