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1016226810 = 23453140471
BaseRepresentation
bin111100100100100…
…110001111111010
32121211012200010000
4330210212033322
54040123224220
6244501133430
734116533244
oct7444461772
92554180100
101016226810
114816a7275
122443ba276
131326cc051
1498d73094
155e339390
hex3c9263fa

1016226810 has 80 divisors (see below), whose sum is σ = 2820736512. Its totient is φ = 262245600.

The previous prime is 1016226791. The next prime is 1016226811. The reversal of 1016226810 is 186226101.

It is a super-2 number, since 2×10162268102 = 2065433858725552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1016226811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4875 + ... + 45345.

Almost surely, 21016226810 is an apocalyptic number.

1016226810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016226810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410368256).

1016226810 is an abundant number, since it is smaller than the sum of its proper divisors (1804509702).

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

1016226810 is a wasteful number, since it uses less digits than its factorization.

1016226810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40521 (or 40512 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1016226810 is about 31878.3125337587. The cubic root of 1016226810 is about 1005.3799409963.

The spelling of 1016226810 in words is "one billion, sixteen million, two hundred twenty-six thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1395 1674 2511 2790 4185 5022 8370 12555 25110 40471 80942 121413 202355 242826 364239 404710 607065 728478 1092717 1214130 1254601 1821195 2185434 2509202 3278151 3642390 3763803 5463585 6273005 6556302 7527606 10927170 11291409 12546010 16390755 18819015 22582818 32781510 33874227 37638030 56457045 67748454 101622681 112914090 169371135 203245362 338742270 508113405 1016226810