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2212406144 = 27138914939
BaseRepresentation
bin1000001111011110…
…1010001110000000
312201012000212200022
42003313222032000
514012333444034
61003311313012
7105553066454
oct20367521600
95635025608
102212406144
11a35933533
12518b1b768
13293486480
1416db8a664
15ce36cb2e
hex83dea380

2212406144 has 64 divisors (see below), whose sum is σ = 4800222000. Its totient is φ = 1009569792.

The previous prime is 2212406093. The next prime is 2212406191. The reversal of 2212406144 is 4416042122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140627 + ... + 155565.

Almost surely, 22212406144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400111000).

2212406144 is an abundant number, since it is smaller than the sum of its proper divisors (2587815856).

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

2212406144 is a wasteful number, since it uses less digits than its factorization.

2212406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15055 (or 15043 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 2212406144 is about 47036.2216169624. The cubic root of 2212406144 is about 1303.0316119370.

Adding to 2212406144 its reverse (4416042122), we get a palindrome (6628448266).

The spelling of 2212406144 in words is "two billion, two hundred twelve million, four hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 356 416 712 832 1157 1424 1664 2314 2848 4628 5696 9256 11392 14939 18512 29878 37024 59756 74048 119512 148096 194207 239024 388414 478048 776828 956096 1329571 1553656 1912192 2659142 3107312 5318284 6214624 10636568 12429248 17284423 21273136 24858496 34568846 42546272 69137692 85092544 138275384 170185088 276550768 553101536 1106203072 2212406144