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225322270215 = 357151120111833
BaseRepresentation
bin1101000111011001000…
…0001111111000000111
3210112121002121021221020
43101312100033320013
512142430000121330
6251302302122223
722164460460460
oct3216620177007
9715532537836
10225322270215
1187616602649
1237803b80373
131832b550013
14ac97197d67
155cdb5a4210
hex347640fe07

225322270215 has 64 divisors (see below), whose sum is σ = 415126874112. Its totient is φ = 102228480000.

The previous prime is 225322270181. The next prime is 225322270259. The reversal of 225322270215 is 512072223522.

It is a happy number.

225322270215 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225322270215 - 210 = 225322269191 is a prime.

It is a super-2 number, since 2×2253222702152 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19035939 + ... + 19047771.

It is an arithmetic number, because the mean of its divisors is an integer number (6486357408).

Almost surely, 2225322270215 is an apocalyptic number.

225322270215 is a deficient number, since it is larger than the sum of its proper divisors (189804603897).

225322270215 is a wasteful number, since it uses less digits than its factorization.

225322270215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13200.

The product of its (nonzero) digits is 33600, while the sum is 33.

Adding to 225322270215 its reverse (512072223522), we get a palindrome (737394493737).

The spelling of 225322270215 in words is "two hundred twenty-five billion, three hundred twenty-two million, two hundred seventy thousand, two hundred fifteen".

Divisors: 1 3 5 7 15 21 35 105 151 453 755 1057 1201 2265 3171 3603 5285 6005 8407 11833 15855 18015 25221 35499 42035 59165 82831 126105 177495 181351 248493 414155 544053 906755 1242465 1269457 1786783 2720265 3808371 5360349 6347285 8933915 12507481 14211433 19041855 26801745 37522443 42634299 62537405 71057165 99480031 187612215 213171495 298440093 497400155 1492200465 2145926383 6437779149 10729631915 15021484681 32188895745 45064454043 75107423405 225322270215