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1020022140 = 223531548399
BaseRepresentation
bin111100110011000…
…100110101111100
32122002100111022210
4330303010311330
54042111202030
6245114340420
734164021324
oct7463046574
92562314283
101020022140
11483859805
1224572a710
1313342a6c7
1499680284
155e838bb0
hex3ccc4d7c

1020022140 has 48 divisors (see below), whose sum is σ = 2948198400. Its totient is φ = 263231040.

The previous prime is 1020022121. The next prime is 1020022141. The reversal of 1020022140 is 412200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

1020022140 is a modest number, since divided by 22140 gives 10200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020022141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 272340 + ... + 276059.

It is an arithmetic number, because the mean of its divisors is an integer number (61420800).

Almost surely, 21020022140 is an apocalyptic number.

1020022140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020022140 is an abundant number, since it is smaller than the sum of its proper divisors (1928176260).

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

1020022140 is a wasteful number, since it uses less digits than its factorization.

1020022140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548442 (or 548440 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1020022140 is about 31937.7854586069. The cubic root of 1020022140 is about 1006.6299927188.

Adding to 1020022140 its reverse (412200201), we get a palindrome (1432222341).

The spelling of 1020022140 in words is "one billion, twenty million, twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 548399 1096798 1645197 2193596 2741995 3290394 5483990 6580788 8225985 10967980 16451970 17000369 32903940 34000738 51001107 68001476 85001845 102002214 170003690 204004428 255005535 340007380 510011070 1020022140