Search a number
-
+
20266434100 = 22521119793523
BaseRepresentation
bin10010110111111110…
…010011111000110100
31221022101212112010101
4102313332103320310
5313001201342400
613151004003444
71315135563463
oct226776237064
957271775111
1020266434100
11865a9679a0
123b17230584
131bac952653
14da383c9da
157d934956a
hex4b7f93e34

20266434100 has 72 divisors (see below), whose sum is σ = 48220226208. Its totient is φ = 7332124800.

The previous prime is 20266434091. The next prime is 20266434101. The reversal of 20266434100 is 143466202.

It is a super-2 number, since 2×202664341002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20266434101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169939 + ... + 263461.

It is an arithmetic number, because the mean of its divisors is an integer number (669725364).

Almost surely, 220266434100 is an apocalyptic number.

20266434100 is a gapful number since it is divisible by the number (20) 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 20266434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24110113104).

20266434100 is an abundant number, since it is smaller than the sum of its proper divisors (27953792108).

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

20266434100 is a wasteful number, since it uses less digits than its factorization.

20266434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93745 (or 93738 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 20266434100 in words is "twenty billion, two hundred sixty-six million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 197 220 275 394 550 788 985 1100 1970 2167 3940 4334 4925 8668 9850 10835 19700 21670 43340 54175 93523 108350 187046 216700 374092 467615 935230 1028753 1870460 2057506 2338075 4115012 4676150 5143765 9352300 10287530 18424031 20575060 25718825 36848062 51437650 73696124 92120155 102875300 184240310 202664341 368480620 405328682 460600775 810657364 921201550 1013321705 1842403100 2026643410 4053286820 5066608525 10133217050 20266434100