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2269919106 = 233713235533
BaseRepresentation
bin1000011101001100…
…0011011110000010
312212012020211122000
42013103003132002
514122044402411
61013124124430
7110151664650
oct20723033602
95765224560
102269919106
11a65345904
12534236716
132a2372400
1417767bdd0
15d442d956
hex874c3782

2269919106 has 96 divisors (see below), whose sum is σ = 6242613120. Its totient is φ = 598643136.

The previous prime is 2269919083. The next prime is 2269919123. The reversal of 2269919106 is 6019199622.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46116 + ... + 81648.

It is an arithmetic number, because the mean of its divisors is an integer number (65027220).

Almost surely, 22269919106 is an apocalyptic number.

2269919106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269919106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121306560).

2269919106 is an abundant number, since it is smaller than the sum of its proper divisors (3972694014).

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

2269919106 is a wasteful number, since it uses less digits than its factorization.

2269919106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35577 (or 35558 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 2269919106 is about 47643.6680577808. The cubic root of 2269919106 is about 1314.2262178025.

The spelling of 2269919106 in words is "two billion, two hundred sixty-nine million, nine hundred nineteen thousand, one hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 169 182 189 234 273 338 351 378 507 546 702 819 1014 1183 1521 1638 2366 2457 3042 3549 4563 4914 7098 9126 10647 21294 31941 35533 63882 71066 106599 213198 248731 319797 461929 497462 639594 746193 923858 959391 1385787 1492386 1918782 2238579 2771574 3233503 4157361 4477158 6005077 6467006 6715737 8314722 9700509 12010154 12472083 13431474 18015231 19401018 24944166 29101527 36030462 42035539 54045693 58203054 84071078 87304581 108091386 126106617 162137079 174609162 252213234 324274158 378319851 756639702 1134959553 2269919106