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232220022211120 = 24553227241272569
BaseRepresentation
bin110100110011001111101111…
…111011110000001000110000
31010110020000110121210001200211
4310303033233323300020300
5220414143101141223440
62141520223325153504
766625225426321336
oct6463175773601060
91113200417701624
10232220022211120
1167aa0a5a6359a9
12220659676bb894
139c7633c434c58
14414b71ab69b56
151bca897e71eea
hexd333efef0230

232220022211120 has 80 divisors (see below), whose sum is σ = 552521906022240. Its totient is φ = 90733927012352.

The previous prime is 232220022211117. The next prime is 232220022211157. The reversal of 232220022211120 is 21112220022232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2322200222111202 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232220022211091 and 232220022211100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119673805 + ... + 121598764.

It is an arithmetic number, because the mean of its divisors is an integer number (6906523825278).

Almost surely, 2232220022211120 is an apocalyptic number.

232220022211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232220022211120 is an abundant number, since it is smaller than the sum of its proper divisors (320301883811120).

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

232220022211120 is a wasteful number, since it uses less digits than its factorization.

232220022211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241272862 (or 241272856 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 232220022211120 its reverse (21112220022232), we get a palindrome (253332242233352).

The spelling of 232220022211120 in words is "two hundred thirty-two trillion, two hundred twenty billion, twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 227 265 424 454 530 848 908 1060 1135 1816 2120 2270 3632 4240 4540 9080 12031 18160 24062 48124 60155 96248 120310 192496 240620 481240 962480 241272569 482545138 965090276 1206362845 1930180552 2412725690 3860361104 4825451380 9650902760 12787446157 19301805520 25574892314 51149784628 54768873163 63937230785 102299569256 109537746326 127874461570 204599138512 219075492652 255748923140 273844365815 438150985304 511497846280 547688731630 876301970608 1022995692560 1095377463260 2190754926520 2902750277639 4381509853040 5805500555278 11611001110556 14513751388195 23222002221112 29027502776390 46444004442224 58055005552780 116110011105560 232220022211120