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82247274228 = 22371317474307
BaseRepresentation
bin100110010011001010…
…0011100111011110100
321212021221202102200210
41030212110130323310
52321420300233403
6101441152305420
75641110203340
oct1144624347364
9255257672623
1082247274228
1131976495509
1213b34542270
1379a98a8c92
143da3400620
152215927b03
hex132651cef4

82247274228 has 48 divisors (see below), whose sum is σ = 221000338944. Its totient is φ = 23319834720.

The previous prime is 82247274227. The next prime is 82247274247.

82247274228 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×822472742282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82247274227) 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 15 ways as a sum of consecutive naturals, for example, 3726150 + ... + 3748157.

It is an arithmetic number, because the mean of its divisors is an integer number (4604173728).

Almost surely, 282247274228 is an apocalyptic number.

It is an amenable number.

82247274228 is an abundant number, since it is smaller than the sum of its proper divisors (138753064716).

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

82247274228 is a wasteful number, since it uses less digits than its factorization.

82247274228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7474452 (or 7474450 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 48.

The spelling of 82247274228 in words is "eighty-two billion, two hundred forty-seven million, two hundred seventy-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 11004 7474307 14948614 22422921 29897228 44845842 52320149 89691684 104640298 156960447 209280596 313920894 627841788 979134217 1958268434 2937402651 3916536868 5874805302 6853939519 11749610604 13707879038 20561818557 27415758076 41123637114 82247274228