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1024012224 = 26321777799
BaseRepresentation
bin111101000010010…
…010111111000000
32122100212012200200
4331002102333000
54044121342344
6245340045200
734242650244
oct7502227700
92570765620
101024012224
114860345a4
12246b33800
131341c68c1
1499ddc424
155ed76069
hex3d092fc0

1024012224 has 42 divisors (see below), whose sum is σ = 2935147800. Its totient is φ = 341337216.

The previous prime is 1024012211. The next prime is 1024012261. The reversal of 1024012224 is 4222104201.

It is a super-3 number, since 3×10240122243 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1024012197 and 1024012206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 888324 + ... + 889475.

Almost surely, 21024012224 is an apocalyptic number.

It is an amenable number.

1024012224 is an abundant number, since it is smaller than the sum of its proper divisors (1911135576).

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

1024012224 is a wasteful number, since it uses less digits than its factorization.

1024012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777817 (or 1777804 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1024012224 is about 32000.1909994300. The cubic root of 1024012224 is about 1007.9408506486.

Adding to 1024012224 its reverse (4222104201), we get a palindrome (5246116425).

The spelling of 1024012224 in words is "one billion, twenty-four million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1777799 3555598 5333397 7111196 10666794 14222392 16000191 21333588 28444784 32000382 42667176 56889568 64000764 85334352 113779136 128001528 170668704 256003056 341337408 512006112 1024012224