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214992227912 = 237211221292
BaseRepresentation
bin1100100000111010001…
…0010000111001001000
3202112221011210202212212
43020032202100321020
512010301002243122
6242433245324252
721350464533200
oct3101642207110
9675834722785
10214992227912
11831a5564a00
1235800566688
1317373376757
14a597281400
1558d4750ce2
hex320e890e48

214992227912 has 108 divisors (see below), whose sum is σ = 515671484265. Its totient is φ = 83723861760.

The previous prime is 214992227911. The next prime is 214992227917. The reversal of 214992227912 is 219722299412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 200967510436 + 14024717476 = 448294^2 + 118426^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=327866.

It is not an unprimeable number, because it can be changed into a prime (214992227911) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100981664 + ... + 100983792.

Almost surely, 2214992227912 is an apocalyptic number.

214992227912 is a gapful number since it is divisible by the number (22) 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 214992227912

214992227912 is an abundant number, since it is smaller than the sum of its proper divisors (300679256353).

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

214992227912 is an equidigital number, since it uses as much as digits as its factorization.

214992227912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 2149 counting only the distinct ones).

The product of its digits is 653184, while the sum is 50.

Multiplying 214992227912 by its sum of digits (50), we get a square (10749611395600 = 32786602).

The spelling of 214992227912 in words is "two hundred fourteen billion, nine hundred ninety-two million, two hundred twenty-seven thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 847 968 1078 1694 2129 2156 3388 4258 4312 5929 6776 8516 11858 14903 17032 23419 23716 29806 46838 47432 59612 93676 104321 119224 163933 187352 208642 257609 327866 417284 515218 655732 834568 1030436 1147531 1311464 1803263 2060872 2295062 3606526 4532641 4590124 7213052 9065282 9180248 12622841 14426104 18130564 25245682 31728487 36261128 49859051 50491364 63456974 99718102 100982728 126913948 199436204 222099409 253827896 349013357 398872408 444198818 548449561 698026714 888397636 1096899122 1396053428 1776795272 2193798244 2443093499 2792106856 3839146927 4387596488 4886186998 7678293854 9772373996 15356587708 19544747992 26874028489 30713175416 53748056978 107496113956 214992227912