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350422220525 = 52133731819161
BaseRepresentation
bin1010001100101101100…
…10101011111011101101
31020111111112020020001012
411012112302223323231
521220131042024100
6424552020155005
734213534504616
oct5062662537355
91214445206035
10350422220525
11125682231933
1257ab7838a65
13270771bcc60
1412d6397cc0d
1591ae156135
hex5196cabeed

350422220525 has 48 divisors (see below), whose sum is σ = 480799258128. Its totient is φ = 251672832000.

The previous prime is 350422220503. The next prime is 350422220531. The reversal of 350422220525 is 525022224053.

It can be written as a sum of positive squares in 24 ways, for example, as 312232853284 + 38189367241 = 558778^2 + 195421^2 .

It is not a de Polignac number, because 350422220525 - 214 = 350422204141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 350422220491 and 350422220500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38246945 + ... + 38256105.

It is an arithmetic number, because the mean of its divisors is an integer number (10016651211).

Almost surely, 2350422220525 is an apocalyptic number.

It is an amenable number.

350422220525 is a deficient number, since it is larger than the sum of its proper divisors (130377037603).

350422220525 is a wasteful number, since it uses less digits than its factorization.

350422220525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402 (or 12397 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

Adding to 350422220525 its reverse (525022224053), we get a palindrome (875444444578).

The spelling of 350422220525 in words is "three hundred fifty billion, four hundred twenty-two million, two hundred twenty thousand, five hundred twenty-five".

Divisors: 1 5 13 25 37 65 185 325 481 925 2405 3181 9161 12025 15905 41353 45805 79525 117697 119093 206765 229025 338957 588485 595465 1033825 1530061 1694785 2942425 2977325 4406441 7650305 8473925 22032205 29141141 38251525 110161025 145705705 378834833 728528525 1078222217 1894174165 5391111085 9470870825 14016888821 26955555425 70084444105 350422220525