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82227401456 = 2417302306623
BaseRepresentation
bin100110010010100100…
…0101001001011110000
321212020120100210101012
41030211020221023300
52321400203321311
6101435202330052
75640446244254
oct1144510511360
9255216323335
1082227401456
1131966251832
1213b29959928
1379a573b745
143da090a264
152213cee78b
hex13252292f0

82227401456 has 20 divisors (see below), whose sum is σ = 168687096192. Its totient is φ = 38695247616.

The previous prime is 82227401423. The next prime is 82227401519. The reversal of 82227401456 is 65410472228.

It is a happy number.

It is a super-2 number, since 2×822274014562 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151153040 + ... + 151153583.

Almost surely, 282227401456 is an apocalyptic number.

It is an amenable number.

82227401456 is an abundant number, since it is smaller than the sum of its proper divisors (86459694736).

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

82227401456 is a wasteful number, since it uses less digits than its factorization.

82227401456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302306648 (or 302306642 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 82227401456 in words is "eighty-two billion, two hundred twenty-seven million, four hundred one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 302306623 604613246 1209226492 2418452984 4836905968 5139212591 10278425182 20556850364 41113700728 82227401456