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2202312112 = 2471113137507
BaseRepresentation
bin1000001101000100…
…1001110110110000
312200111001001021021
42003101021312300
514002242441422
61002311105224
7105401226010
oct20321116660
95614031237
102202312112
11a30169760
12515672214
13291360b80
1416c6bdc40
15cd526dc7
hex83449db0

2202312112 has 80 divisors (see below), whose sum is σ = 5729133312. Its totient is φ = 792034560.

The previous prime is 2202312083. The next prime is 2202312131. The reversal of 2202312112 is 2112132022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52738 + ... + 84769.

Almost surely, 22202312112 is an apocalyptic number.

2202312112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2202312112 is an abundant number, since it is smaller than the sum of its proper divisors (3526821200).

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

2202312112 is a wasteful number, since it uses less digits than its factorization.

2202312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137546 (or 137540 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2202312112 is about 46928.7983225652. The cubic root of 2202312112 is about 1301.0469105263.

Adding to 2202312112 its reverse (2112132022), we get a palindrome (4314444134).

The spelling of 2202312112 in words is "two billion, two hundred two million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 16016 137507 275014 550028 962549 1100056 1512577 1787591 1925098 2200112 3025154 3575182 3850196 6050308 7150364 7700392 10588039 12100616 12513137 14300728 15400784 19663501 21176078 24201232 25026274 28601456 39327002 42352156 50052548 78654004 84704312 100105096 137644507 157308008 169408624 200210192 275289014 314616016 550578028 1101156056 2202312112