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22300046224 = 2437210092
BaseRepresentation
bin10100110001001011…
…111011001110010000
32010120010110201111221
4110301023323032100
5331132302434344
614124451214424
71416421160011
oct246113731620
963503421457
1022300046224
119503881875
1243a42a7414
132145067b31
141117967008
158a7b4b184
hex5312fb390

22300046224 has 45 divisors (see below), whose sum is σ = 44449692147. Its totient is φ = 10837919232.

The previous prime is 22300046183. The next prime is 22300046231. The reversal of 22300046224 is 42264000322.

The square root of 22300046224 is 149332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1439443600 + 20860602624 = 37940^2 + 144432^2 .

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 22100632 + ... + 22101640.

Almost surely, 222300046224 is an apocalyptic number.

22300046224 is the 149332-nd square number.

It is an amenable number.

22300046224 is a deficient number, since it is larger than the sum of its proper divisors (22149645923).

22300046224 is an frugal number, since it uses more digits than its factorization.

22300046224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Multiplying 22300046224 by its sum of digits (25), we get a square (557501155600 = 7466602).

Adding to 22300046224 its reverse (42264000322), we get a palindrome (64564046546).

The spelling of 22300046224 in words is "twenty-two billion, three hundred million, forty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 37 74 148 296 592 1009 1369 2018 2738 4036 5476 8072 10952 16144 21904 37333 74666 149332 298664 597328 1018081 1381321 2036162 2762642 4072324 5525284 8144648 11050568 16289296 22101136 37668997 75337994 150675988 301351976 602703952 1393752889 2787505778 5575011556 11150023112 22300046224