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222211230332130 = 232513313606786353
BaseRepresentation
bin110010100001100110010101…
…011100101111010011100010
31002010210012000201002002012200
4302201212111130233103202
5213111202044431112010
62104334232511434030
764543142303132544
oct6241462534572342
91063705021062180
10222211230332130
1164892287540096
1220b0a037525916
1396cb576997c90
143cc311c11d694
151aa5356262cc0
hexca199572f4e2

222211230332130 has 96 divisors (see below), whose sum is σ = 624179278051056. Its totient is φ = 54523394445312.

The previous prime is 222211230332081. The next prime is 222211230332131. The reversal of 222211230332130 is 31233032112222.

222211230332130 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 1 + 1 + 2 + 303 + 321 + 30 = 666.

222211230332130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10338199104249 + 211873031227881 = 3215307^2 + 14555859^2 .

It is a super-2 number, since 2×2222112303321302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222211230332094 and 222211230332103.

It is not an unprimeable number, because it can be changed into a prime (222211230332131) 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, 303026967 + ... + 303759386.

Almost surely, 2222211230332130 is an apocalyptic number.

222211230332130 is an abundant number, since it is smaller than the sum of its proper divisors (401968047718926).

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

222211230332130 is a wasteful number, since it uses less digits than its factorization.

222211230332130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606786692 (or 606786689 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 222211230332130 its reverse (31233032112222), we get a palindrome (253444262444352).

The spelling of 222211230332130 in words is "two hundred twenty-two trillion, two hundred eleven billion, two hundred thirty million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 313 390 585 626 939 1170 1565 1878 2817 3130 4069 4695 5634 8138 9390 12207 14085 20345 24414 28170 36621 40690 61035 73242 122070 183105 366210 606786353 1213572706 1820359059 3033931765 3640718118 5461077177 6067863530 7888222589 9101795295 10922154354 15776445178 18203590590 23664667767 27305385885 39441112945 47329335534 54610771770 70994003301 78882225890 118323338835 141988006602 189924128489 236646677670 354970016505 379848256978 569772385467 709940033010 949620642445 1139544770934 1709317156401 1899241284890 2469013670357 2848861927335 3418634312802 4938027340714 5697723854670 7407041011071 8546585782005 12345068351785 14814082022142 17093171564010 22221123033213 24690136703570 37035205055355 44442246066426 74070410110710 111105615166065 222211230332130