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1022232020 = 225298871987
BaseRepresentation
bin111100111011100…
…000010111010100
32122020111202201012
4330323200113110
54043142411040
6245233551352
734221554165
oct7473402724
92566452635
101022232020
11485029057
12246415558
13133a22524
1499a9776c
155eb23865
hex3cee05d4

1022232020 has 48 divisors (see below), whose sum is σ = 2224333440. Its totient is φ = 394149504.

The previous prime is 1022232019. The next prime is 1022232047. The reversal of 1022232020 is 202322201.

It is a junction number, because it is equal to n+sod(n) for n = 1022231986 and 1022232004.

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, 513467 + ... + 515453.

It is an arithmetic number, because the mean of its divisors is an integer number (46340280).

Almost surely, 21022232020 is an apocalyptic number.

1022232020 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 1022232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112166720).

1022232020 is an abundant number, since it is smaller than the sum of its proper divisors (1202101420).

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

1022232020 is a wasteful number, since it uses less digits than its factorization.

1022232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1022232020 is about 31972.3633783929. The cubic root of 1022232020 is about 1007.3564236618.

Adding to 1022232020 its reverse (202322201), we get a palindrome (1224554221).

The spelling of 1022232020 in words is "one billion, twenty-two million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 887 1774 1987 3548 3974 4435 7948 8870 9935 17740 19870 25723 39740 51446 57623 102892 115246 128615 230492 257230 288115 514460 576230 1152460 1762469 3524938 7049876 8812345 17624690 35249380 51111601 102223202 204446404 255558005 511116010 1022232020