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9218138850 = 2335211360427
BaseRepresentation
bin10001001010111000…
…11010001011100010
3212210102112222021000
420211130122023202
5122334320420400
64122412412430
7444301613244
oct104534321342
925712488230
109218138850
113a00443178
121953177116
13b3ba1883b
1463639a094
1538e41a600
hex22571a2e2

9218138850 has 96 divisors (see below), whose sum is σ = 25626306240. Its totient is φ = 2436376320.

The previous prime is 9218138843. The next prime is 9218138873. The reversal of 9218138850 is 588318129.

It is a happy number.

9218138850 is a `hidden beast` number, since 9 + 218 + 1 + 388 + 50 = 666.

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 a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 9218138796 and 9218138805.

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, 122337 + ... + 182763.

It is an arithmetic number, because the mean of its divisors is an integer number (266940690).

Almost surely, 29218138850 is an apocalyptic number.

9218138850 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9218138850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12813153120).

9218138850 is an abundant number, since it is smaller than the sum of its proper divisors (16408167390).

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

9218138850 is a wasteful number, since it uses less digits than its factorization.

9218138850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60561 (or 60550 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 9218138850 is about 96011.1391974910. The cubic root of 9218138850 is about 2096.7552953195.

The spelling of 9218138850 in words is "nine billion, two hundred eighteen million, one hundred thirty-eight thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 113 135 150 225 226 270 339 450 565 675 678 1017 1130 1350 1695 2034 2825 3051 3390 5085 5650 6102 8475 10170 15255 16950 25425 30510 50850 60427 76275 120854 152550 181281 302135 362562 543843 604270 906405 1087686 1510675 1631529 1812810 2719215 3021350 3263058 4532025 5438430 6828251 8157645 9064050 13596075 13656502 16315290 20484753 27192150 34141255 40788225 40969506 61454259 68282510 81576450 102423765 122908518 170706275 184362777 204847530 307271295 341412550 368725554 512118825 614542590 921813885 1024237650 1536356475 1843627770 3072712950 4609069425 9218138850