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2226002460 = 2235113372731
BaseRepresentation
bin1000010010101110…
…0001101000011100
312202010121122022120
42010223201220130
514024324034320
61004514542540
7106106465043
oct20453415034
95663548276
102226002460
11a4257a660
12521597a50
13296236c26
141718c955a
15d0656440
hex84ae1a1c

2226002460 has 48 divisors (see below), whose sum is σ = 6799427712. Its totient is φ = 539636800.

The previous prime is 2226002447. The next prime is 2226002479. The reversal of 2226002460 is 642006222.

It is a self number, because there is not a number n which added to its sum of digits gives 2226002460.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1685706 + ... + 1687025.

It is an arithmetic number, because the mean of its divisors is an integer number (141654744).

Almost surely, 22226002460 is an apocalyptic number.

2226002460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226002460 is an abundant number, since it is smaller than the sum of its proper divisors (4573425252).

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

2226002460 is a wasteful number, since it uses less digits than its factorization.

2226002460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372754 (or 3372752 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2226002460 is about 47180.5305184247. The cubic root of 2226002460 is about 1305.6954177316.

Adding to 2226002460 its reverse (642006222), we get a palindrome (2868008682).

The spelling of 2226002460 in words is "two billion, two hundred twenty-six million, two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3372731 6745462 10118193 13490924 16863655 20236386 33727310 37100041 40472772 50590965 67454620 74200082 101181930 111300123 148400164 185500205 202363860 222600246 371000410 445200492 556500615 742000820 1113001230 2226002460