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2214240126 = 2372193891019
BaseRepresentation
bin1000001111111010…
…1001111101111110
312201022111001102120
42003332221331332
514013321141001
61003414503410
7105604505400
oct20376517576
95638431376
102214240126
11a3697641a
12519664b66
13293979177
14170106b70
15ce5d1236
hex83fa9f7e

2214240126 has 96 divisors (see below), whose sum is σ = 5441904000. Its totient is φ = 597215808.

The previous prime is 2214240121. The next prime is 2214240163. The reversal of 2214240126 is 6210424122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2214240096 and 2214240105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214240121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2172445 + ... + 2173463.

It is an arithmetic number, because the mean of its divisors is an integer number (56686500).

Almost surely, 22214240126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214240126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720952000).

2214240126 is an abundant number, since it is smaller than the sum of its proper divisors (3227663874).

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

2214240126 is a wasteful number, since it uses less digits than its factorization.

2214240126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2214240126 is about 47055.7130006549. The cubic root of 2214240126 is about 1303.3915634021.

Adding to 2214240126 its reverse (6210424122), we get a palindrome (8424664248).

The spelling of 2214240126 in words is "two billion, two hundred fourteen million, two hundred forty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 389 399 778 798 931 1019 1167 1862 2038 2334 2723 2793 3057 5446 5586 6114 7133 7391 8169 14266 14782 16338 19061 19361 21399 22173 38122 38722 42798 44346 49931 51737 57183 58083 99862 103474 114366 116166 135527 149793 155211 271054 299586 310422 362159 396391 406581 724318 792782 813162 948689 1086477 1189173 1897378 2172954 2378346 2774737 2846067 5549474 5692134 7531429 8324211 15062858 16648422 19423159 22594287 38846318 45188574 52720003 58269477 105440006 116538954 158160009 316320018 369040021 738080042 1107120063 2214240126