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2263050224 = 242361731381
BaseRepresentation
bin1000011011100011…
…0110011111110000
312211201022212021222
42012320312133300
514113320101344
61012321004212
7110036416031
oct20670663760
95751285258
102263050224
11a61484146
12531a83668
132a0b08a96
141767b0a88
15d3a235ee
hex86e367f0

2263050224 has 80 divisors (see below), whose sum is σ = 4717418304. Its totient is φ = 1049241600.

The previous prime is 2263050221. The next prime is 2263050241. The reversal of 2263050224 is 4220503622.

It is a junction number, because it is equal to n+sod(n) for n = 2263050193 and 2263050202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263050221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1638014 + ... + 1639394.

Almost surely, 22263050224 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 2263050224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358709152).

2263050224 is an abundant number, since it is smaller than the sum of its proper divisors (2454368080).

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

2263050224 is a wasteful number, since it uses less digits than its factorization.

2263050224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2263050224 is about 47571.5274507767. The cubic root of 2263050224 is about 1312.8992416165.

Adding to 2263050224 its reverse (4220503622), we get a palindrome (6483553846).

The spelling of 2263050224 in words is "two billion, two hundred sixty-three million, fifty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 61 73 92 122 146 184 244 292 368 488 584 976 1168 1381 1403 1679 2762 2806 3358 4453 5524 5612 6716 8906 11048 11224 13432 17812 22096 22448 26864 31763 35624 63526 71248 84241 100813 102419 127052 168482 201626 204838 254104 336964 403252 409676 508208 673928 806504 819352 1347856 1613008 1638704 1937543 2318699 3875086 4637398 6149593 7750172 9274796 12299186 15500344 18549592 24598372 31000688 37099184 49196744 98393488 141440639 282881278 565762556 1131525112 2263050224