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2212323138 = 233535631373
BaseRepresentation
bin1000001111011101…
…0101111101000010
312201011212122211000
42003313111331002
514012323320023
61003305432430
7105552302454
oct20367257502
95634778730
102212323138
11a35887133
12518a9b716
1329345775c
1416db682d4
15ce353243
hex83dd5f42

2212323138 has 64 divisors (see below), whose sum is σ = 5021585280. Its totient is φ = 721715904.

The previous prime is 2212323079. The next prime is 2212323143. The reversal of 2212323138 is 8313232122.

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1610620 + ... + 1611992.

It is an arithmetic number, because the mean of its divisors is an integer number (78462270).

Almost surely, 22212323138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212323138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510792640).

2212323138 is an abundant number, since it is smaller than the sum of its proper divisors (2809262142).

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

2212323138 is a wasteful number, since it uses less digits than its factorization.

2212323138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1994 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2212323138 is about 47035.3392461456. The cubic root of 2212323138 is about 1303.0153158341.

The spelling of 2212323138 in words is "two billion, two hundred twelve million, three hundred twenty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 563 954 1126 1373 1431 1689 2746 2862 3378 4119 5067 8238 10134 12357 15201 24714 29839 30402 37071 59678 72769 74142 89517 145538 179034 218307 268551 436614 537102 654921 772999 805653 1309842 1545998 1611306 1964763 2318997 3929526 4637994 6956991 13913982 20870973 40968947 41741946 81937894 122906841 245813682 368720523 737441046 1106161569 2212323138