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3200540022 = 2322373137773
BaseRepresentation
bin1011111011000100…
…0101110101110110
322021001101021112100
42332301011311312
523023314240042
61245330402530
7142212066321
oct27661056566
98231337470
103200540022
1113a26920a9
12753a30446
133c00ca584
142250c97b8
1513aea824c
hexbec45d76

3200540022 has 96 divisors (see below), whose sum is σ = 7398226368. Its totient is φ = 997843968.

The previous prime is 3200539981. The next prime is 3200540029. The reversal of 3200540022 is 2200450023.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3200539977 and 3200540004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200540029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4140028 + ... + 4140800.

It is an arithmetic number, because the mean of its divisors is an integer number (77064858).

Almost surely, 23200540022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200540022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699113184).

3200540022 is an abundant number, since it is smaller than the sum of its proper divisors (4197686346).

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

3200540022 is a wasteful number, since it uses less digits than its factorization.

3200540022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3200540022 is about 56573.3154587921. The cubic root of 3200540022 is about 1473.6954888794.

Adding to 3200540022 its reverse (2200450023), we get a palindrome (5400990045).

It can be divided in two parts, 32005 and 40022, that added together give a palindrome (72027).

The spelling of 3200540022 in words is "three billion, two hundred million, five hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 73 137 138 146 207 219 274 411 414 438 657 773 822 1233 1314 1546 1679 2319 2466 3151 3358 4638 5037 6302 6957 9453 10001 10074 13914 15111 17779 18906 20002 28359 30003 30222 35558 53337 56429 56718 60006 90009 105901 106674 112858 160011 169287 180018 211802 230023 317703 320022 338574 460046 507861 635406 690069 953109 1015722 1297867 1380138 1906218 2070207 2435723 2595734 3893601 4140414 4871446 7307169 7730773 7787202 11680803 14614338 15461546 21921507 23192319 23361606 43843014 46384638 69576957 139153914 177807779 355615558 533423337 1066846674 1600270011 3200540022