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1022666112 = 273213232969
BaseRepresentation
bin111100111101001…
…010010110000000
32122021022211011200
4330331022112000
54043300303422
6245251141200
734225342566
oct7475122600
92567284150
101022666112
114852a5206
122465a4800
13133b44ca0
1499b6ba36
155ebac2ac
hex3cf4a580

1022666112 has 192 divisors, whose sum is σ = 3308104800. Its totient is φ = 300883968.

The previous prime is 1022666101. The next prime is 1022666131. The reversal of 1022666112 is 2116662201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342964 + ... + 345932.

Almost surely, 21022666112 is an apocalyptic number.

1022666112 is a gapful number since it is divisible by the number (12) 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 1022666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654052400).

1022666112 is an abundant number, since it is smaller than the sum of its proper divisors (2285438688).

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

1022666112 is a wasteful number, since it uses less digits than its factorization.

1022666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1022666112 is about 31979.1512082482. The cubic root of 1022666112 is about 1007.4989951696.

The spelling of 1022666112 in words is "one billion, twenty-two million, six hundred sixty-six thousand, one hundred twelve".