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11022500340 = 22325277221069
BaseRepresentation
bin10100100001111111…
…00000000111110100
31001110011210000220100
422100333200013310
5140033230002330
65021430234100
7540101464335
oct122077400764
931404700810
1011022500340
114746a06715
1221774b5930
1310687a4b67
14767c8a28c
15447a36060
hex290fe01f4

11022500340 has 72 divisors (see below), whose sum is σ = 33555773160. Its totient is φ = 2928708864.

The previous prime is 11022500327. The next prime is 11022500371. The reversal of 11022500340 is 4300522011.

11022500340 is a `hidden beast` number, since 110 + 22 + 500 + 34 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2609575056 + 8412925284 = 51084^2 + 91722^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 60675 + ... + 160394.

It is an arithmetic number, because the mean of its divisors is an integer number (466052405).

Almost surely, 211022500340 is an apocalyptic number.

11022500340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022500340 is an abundant number, since it is smaller than the sum of its proper divisors (22533272820).

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

11022500340 is a wasteful number, since it uses less digits than its factorization.

11022500340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221361 (or 221356 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 11022500340 in words is "eleven billion, twenty-two million, five hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 554 831 1108 1385 1662 2493 2770 3324 4155 4986 5540 8310 9972 12465 16620 24930 49860 221069 442138 663207 884276 1105345 1326414 1989621 2210690 2652828 3316035 3979242 4421380 6632070 7958484 9948105 13264140 19896210 39792420 61236113 122472226 183708339 244944452 306180565 367416678 551125017 612361130 734833356 918541695 1102250034 1224722260 1837083390 2204500068 2755625085 3674166780 5511250170 11022500340