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2255122353042 = 2321324197141183
BaseRepresentation
bin100000110100001111110…
…001000100101110010010
321222120212100120012110200
4200310033301010232102
5243421442310244132
64443553334240030
7321633014503506
oct40641761045622
97876770505420
102255122353042
1179a434860759
12305083ab6016
13134870920aa0
147b2116d2306
153d9da86ad7c
hex20d0fc44b92

2255122353042 has 96 divisors (see below), whose sum is σ = 5289356007936. Its totient is φ = 690276211200.

The previous prime is 2255122353041. The next prime is 2255122353047. The reversal of 2255122353042 is 2403532215522.

It is a happy number.

2255122353042 is a `hidden beast` number, since 2 + 2 + 55 + 12 + 23 + 530 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2255122352988 and 2255122353006.

It is not an unprimeable number, because it can be changed into a prime (2255122353041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54737983 + ... + 54779165.

It is an arithmetic number, because the mean of its divisors is an integer number (55097458416).

Almost surely, 22255122353042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255122353042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644678003968).

2255122353042 is an abundant number, since it is smaller than the sum of its proper divisors (3034233654894).

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

2255122353042 is a wasteful number, since it uses less digits than its factorization.

2255122353042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42416 (or 42413 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 2255122353042 its reverse (2403532215522), we get a palindrome (4658654568564).

The spelling of 2255122353042 in words is "two trillion, two hundred fifty-five billion, one hundred twenty-two million, three hundred fifty-three thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 241 482 723 971 1446 1942 2169 2913 3133 4338 5826 6266 8739 9399 12623 17478 18798 25246 28197 37869 41183 56394 75738 82366 113607 123549 227214 234011 247098 370647 468022 535379 702033 741294 1070758 1404066 1606137 2106099 3042143 3212274 4212198 4818411 6084286 9126429 9636822 9925103 18252858 19850206 27379287 29775309 39988693 54758574 59550618 79977386 89325927 119966079 129026339 178651854 239932158 258052678 359898237 387079017 519853009 719796474 774158034 1039706018 1161237051 1559559027 2322474102 3119118054 4678677081 9357354162 9637275013 19274550026 28911825039 57823650078 86735475117 125284575169 173470950234 250569150338 375853725507 751707451014 1127561176521 2255122353042