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2225441430 = 2325139177893
BaseRepresentation
bin1000010010100101…
…1000101010010110
312202002120010201200
42010221120222112
514024203111210
61004454533330
7106101640302
oct20451305226
95662503650
102225441430
11a422270a3
12521367246
1329609b764
141717c0d02
15d05950c0
hex84a58a96

2225441430 has 48 divisors (see below), whose sum is σ = 5827807440. Its totient is φ = 589178304.

The previous prime is 2225441417. The next prime is 2225441437. The reversal of 2225441430 is 341445222.

2225441430 is a `hidden beast` number, since 2 + 225 + 4 + 4 + 1 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2225441394 and 2225441403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225441437) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 76437 + ... + 101456.

It is an arithmetic number, because the mean of its divisors is an integer number (121412655).

Almost surely, 22225441430 is an apocalyptic number.

2225441430 is an abundant number, since it is smaller than the sum of its proper divisors (3602366010).

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

2225441430 is a wasteful number, since it uses less digits than its factorization.

2225441430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178045 (or 178042 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2225441430 is about 47174.5845768672. The cubic root of 2225441430 is about 1305.5857149702.

Adding to 2225441430 its reverse (341445222), we get a palindrome (2566886652).

The spelling of 2225441430 in words is "two billion, two hundred twenty-five million, four hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 4170 6255 12510 177893 355786 533679 889465 1067358 1601037 1778930 2668395 3202074 5336790 8005185 16010370 24727127 49454254 74181381 123635635 148362762 222544143 247271270 370906905 445088286 741813810 1112720715 2225441430