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1022040020 = 225196474157
BaseRepresentation
bin111100111010110…
…001011111010100
32122020011000100002
4330322301133110
54043120240040
6245225510432
734220124341
oct7472613724
92566130302
101022040020
11484a07881
12246342418
13133986011
1499a477c8
155ead6a15
hex3ceb17d4

1022040020 has 48 divisors (see below), whose sum is σ = 2263282560. Its totient is φ = 386607744.

The previous prime is 1022039999. The next prime is 1022040037. The reversal of 1022040020 is 200402201.

It is a junction number, because it is equal to n+sod(n) for n = 1022039983 and 1022040010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243782 + ... + 247938.

It is an arithmetic number, because the mean of its divisors is an integer number (47151720).

Almost surely, 21022040020 is an apocalyptic number.

1022040020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131641280).

1022040020 is an abundant number, since it is smaller than the sum of its proper divisors (1241242540).

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

1022040020 is a wasteful number, since it uses less digits than its factorization.

1022040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1022040020 is about 31969.3606442168. The cubic root of 1022040020 is about 1007.2933510455.

Adding to 1022040020 its reverse (200402201), we get a palindrome (1222442221).

The spelling of 1022040020 in words is "one billion, twenty-two million, forty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 647 1294 2588 3235 4157 6470 8314 12293 12940 16628 20785 24586 41570 49172 61465 78983 83140 122930 157966 245860 315932 394915 789830 1579660 2689579 5379158 10758316 13447895 26895790 51102001 53791580 102204002 204408004 255510005 511020010 1022040020