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2212384380 = 22351032711321
BaseRepresentation
bin1000001111011110…
…0100111001111100
312201011222202211020
42003313210321330
514012332300010
61003311024140
7105552646143
oct20367447174
95634882736
102212384380
11a35919148
12518b0b050
132934795ab
1416db8275a
15ce366470
hex83de4e7c

2212384380 has 96 divisors (see below), whose sum is σ = 6282651648. Its totient is φ = 581644800.

The previous prime is 2212384373. The next prime is 2212384381. The reversal of 2212384380 is 834832122.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212384381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1674120 + ... + 1675440.

It is an arithmetic number, because the mean of its divisors is an integer number (65444288).

Almost surely, 22212384380 is an apocalyptic number.

2212384380 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 2212384380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141325824).

2212384380 is an abundant number, since it is smaller than the sum of its proper divisors (4070267268).

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

2212384380 is a wasteful number, since it uses less digits than its factorization.

2212384380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2212384380 is about 47035.9902627764. The cubic root of 2212384380 is about 1303.0273391723.

The spelling of 2212384380 in words is "two billion, two hundred twelve million, three hundred eighty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 271 309 412 515 542 618 813 1030 1084 1236 1321 1355 1545 1626 2060 2642 2710 3090 3252 3963 4065 5284 5420 6180 6605 7926 8130 13210 15852 16260 19815 26420 27913 39630 55826 79260 83739 111652 136063 139565 167478 272126 279130 334956 357991 408189 418695 544252 558260 680315 715982 816378 837390 1073973 1360630 1431964 1632756 1674780 1789955 2040945 2147946 2721260 3579910 4081890 4295892 5369865 7159820 8163780 10739730 21479460 36873073 73746146 110619219 147492292 184365365 221238438 368730730 442476876 553096095 737461460 1106192190 2212384380