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1022022112 = 25239071531
BaseRepresentation
bin111100111010101…
…101000111100000
32122020010002202211
4330322231013200
54043114201422
6245225251504
734220021206
oct7472550740
92566102684
101022022112
114849a5381
12246333b94
1313397ab17
1499a41076
155ead1577
hex3cead1e0

1022022112 has 48 divisors (see below), whose sum is σ = 2103276672. Its totient is φ = 487935360.

The previous prime is 1022022107. The next prime is 1022022143. The reversal of 1022022112 is 2112202201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1022022092 and 1022022101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666787 + ... + 668317.

It is an arithmetic number, because the mean of its divisors is an integer number (43818264).

Almost surely, 21022022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051638336).

1022022112 is an abundant number, since it is smaller than the sum of its proper divisors (1081254560).

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

1022022112 is a wasteful number, since it uses less digits than its factorization.

1022022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1022022112 is about 31969.0805623183. The cubic root of 1022022112 is about 1007.2874678073.

Adding to 1022022112 its reverse (2112202201), we get a palindrome (3134224313).

The spelling of 1022022112 in words is "one billion, twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 907 1531 1814 3062 3628 6124 7256 12248 14512 20861 24496 29024 35213 41722 48992 70426 83444 140852 166888 281704 333776 563408 667552 1126816 1388617 2777234 5554468 11108936 22217872 31938191 44435744 63876382 127752764 255505528 511011056 1022022112