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1022663106 = 232193897687
BaseRepresentation
bin111100111101001…
…001100111000010
32122021022200001100
4330331021213002
54043300204411
6245251115230
734225331043
oct7475114702
92567280040
101022663106
114852a2a23
122465a2b16
13133b437ca
1499b6a8ca
155ebab456
hex3cf499c2

1022663106 has 48 divisors (see below), whose sum is σ = 2338689600. Its totient is φ = 322074144.

The previous prime is 1022663029. The next prime is 1022663113. The reversal of 1022663106 is 6013662201.

1022663106 is a `hidden beast` number, since 1 + 0 + 2 + 26 + 631 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1022663106.

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, 129195 + ... + 136881.

It is an arithmetic number, because the mean of its divisors is an integer number (48722700).

Almost surely, 21022663106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022663106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169344800).

1022663106 is an abundant number, since it is smaller than the sum of its proper divisors (1316026494).

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

1022663106 is a wasteful number, since it uses less digits than its factorization.

1022663106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8103 (or 8100 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1022663106 is about 31979.1042088424. The cubic root of 1022663106 is about 1007.4980080293.

It can be divided in two parts, 1022 and 663106, that added together give a triangular number (664128 = T1152).

The spelling of 1022663106 in words is "one billion, twenty-two million, six hundred sixty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 389 778 1167 2334 3501 7002 7391 7687 14782 15374 22173 23061 44346 46122 66519 69183 133038 138366 146053 292106 438159 876318 1314477 2628954 2990243 5980486 8970729 17941458 26912187 53824374 56814617 113629234 170443851 340887702 511331553 1022663106