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225555555522 = 2311311013107
BaseRepresentation
bin1101001000010000101…
…0001010010011000010
3210120012100120102012210
43102010022022103002
512143414210234042
6251341354202550
722203322405533
oct3220412122302
9716170512183
10225555555522
118772625a320
123786a123456
131836798c76b
14acba16268a
155d01cd5a9c
hex348428a4c2

225555555522 has 128 divisors (see below), whose sum is σ = 517871149056. Its totient is φ = 64878360000.

The previous prime is 225555555517. The next prime is 225555555527.

225555555522 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (225555555517) and next prime (225555555527).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (225555555527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2107995793 + ... + 2107995899.

It is an arithmetic number, because the mean of its divisors is an integer number (4045868352).

Almost surely, 2225555555522 is an apocalyptic number.

225555555522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225555555522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258935574528).

225555555522 is an abundant number, since it is smaller than the sum of its proper divisors (292315593534).

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

225555555522 is a wasteful number, since it uses less digits than its factorization.

225555555522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 255 counting only the distinct ones).

The product of its digits is 6250000, while the sum is 48.

The spelling of 225555555522 in words is "two hundred twenty-five billion, five hundred fifty-five million, five hundred fifty-five thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 101 107 186 202 214 303 321 341 606 642 682 1023 1111 1177 2046 2222 2354 3131 3317 3333 3531 6262 6634 6666 7062 9393 9951 10201 10807 18786 19902 20402 21614 30603 32421 34441 36487 61206 64842 68882 72974 103323 109461 112211 118877 206646 218922 224422 237754 316231 335017 336633 356631 632462 670034 673266 713262 948693 1005051 1030301 1091507 1897386 2010102 2060602 2183014 3090903 3274521 3478541 3685187 6181806 6549042 6957082 7370374 10435623 11055561 11333311 12006577 20871246 22111122 22666622 24013154 31939331 33836717 33999933 36019731 63878662 67673434 67999866 72039462 95817993 101510151 110242207 191635986 203020302 220484414 330726621 351332641 372203887 661453242 702665282 744407774 1053997923 1116611661 1212664277 2107995846 2233223322 2425328554 3417508417 3637992831 6835016834 7275985662 10252525251 20505050502 37592592587 75185185174 112777777761 225555555522