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1022041224 = 233217835001
BaseRepresentation
bin111100111010110…
…001110010001000
32122020011001222200
4330322301302020
54043120304344
6245225520200
734220131011
oct7472616210
92566131880
101022041224
11484a08776
12246343060
13133986729
1499a48008
155ead7069
hex3ceb1c88

1022041224 has 48 divisors (see below), whose sum is σ = 2930857020. Its totient is φ = 320640000.

The previous prime is 1022041211. The next prime is 1022041231. The reversal of 1022041224 is 4221402201.

1022041224 is a `hidden beast` number, since 10 + 220 + 412 + 24 = 666.

1022041224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1013148900 + 8892324 = 31830^2 + 2982^2 .

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 = 1022041197 and 1022041206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416277 + ... + 418724.

Almost surely, 21022041224 is an apocalyptic number.

It is an amenable number.

1022041224 is an abundant number, since it is smaller than the sum of its proper divisors (1908815796).

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

1022041224 is a wasteful number, since it uses less digits than its factorization.

1022041224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835030 (or 835023 counting only the distinct ones).

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

The square root of 1022041224 is about 31969.3794747411. The cubic root of 1022041224 is about 1007.2937465880.

Adding to 1022041224 its reverse (4221402201), we get a palindrome (5243443425).

The spelling of 1022041224 in words is "one billion, twenty-two million, forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 835001 1670002 2505003 3340004 5010006 6680008 7515009 10020012 14195017 15030018 20040024 28390034 30060036 42585051 56780068 60120072 85170102 113560136 127755153 170340204 255510306 340680408 511020612 1022041224