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2202345012 = 2237411813533
BaseRepresentation
bin1000001101000101…
…0001111000110100
312200111002201101210
42003101101320310
514002300020022
61002311521420
7105401423640
oct20321217064
95614081353
102202345012
11a3019144a
12515689270
13291372b3a
1416c6cbc20
15cd531a0c
hex83451e34

2202345012 has 96 divisors (see below), whose sum is σ = 6051112704. Its totient is φ = 610329600.

The previous prime is 2202344959. The next prime is 2202345017. The reversal of 2202345012 is 2105432022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2202345012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202345017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 621598 + ... + 625130.

It is an arithmetic number, because the mean of its divisors is an integer number (63032424).

Almost surely, 22202345012 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 2202345012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025556352).

2202345012 is an abundant number, since it is smaller than the sum of its proper divisors (3848767692).

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

2202345012 is a wasteful number, since it uses less digits than its factorization.

2202345012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2202345012 is about 46929.1488522858. The cubic root of 2202345012 is about 1301.0533892068.

Adding to 2202345012 its reverse (2105432022), we get a palindrome (4307777034).

The spelling of 2202345012 in words is "two billion, two hundred two million, three hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 181 246 287 362 492 543 574 724 861 1086 1148 1267 1722 2172 2534 3444 3533 3801 5068 7066 7421 7602 10599 14132 14842 15204 21198 22263 24731 29684 42396 44526 49462 51947 74193 89052 98924 103894 144853 148386 155841 207788 289706 296772 311682 434559 579412 623364 639473 869118 1013971 1278946 1738236 1918419 2027942 2557892 3041913 3836838 4055884 4476311 6083826 7673676 8952622 12167652 13428933 17905244 26218393 26857866 52436786 53715732 78655179 104873572 157310358 183528751 314620716 367057502 550586253 734115004 1101172506 2202345012