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223101220212 = 223413442111981
BaseRepresentation
bin1100111111000111011…
…1100111010101110100
3210022212022022021010000
43033301313213111310
512123402403021322
6250254041231300
722055441040153
oct3176167472564
9708768267100
10223101220212
1186686905932
12372a4192530
131806635b350
14ab261db59a
155c0b5ca3ac
hex33f1de7574

223101220212 has 120 divisors (see below), whose sum is σ = 628289062632. Its totient is φ = 68625273600.

The previous prime is 223101220211. The next prime is 223101220249. The reversal of 223101220212 is 212022101322.

223101220212 is a `hidden beast` number, since 2 + 231 + 0 + 1 + 220 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88027329636 + 135073890576 = 296694^2 + 367524^2 .

It is a super-3 number, since 3×2231012202123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223101220211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18615262 + ... + 18627242.

Almost surely, 2223101220212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223101220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314144531316).

223101220212 is an abundant number, since it is smaller than the sum of its proper divisors (405187842420).

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

223101220212 is a wasteful number, since it uses less digits than its factorization.

223101220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16431 (or 16420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 223101220212 its reverse (212022101322), we get a palindrome (435123321534).

The spelling of 223101220212 in words is "two hundred twenty-three billion, one hundred one million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 4421 8842 11981 13263 17684 23962 26526 35943 39789 47924 53052 57473 71886 79578 107829 114946 119367 143772 155753 159156 172419 215658 229892 238734 311506 323487 344838 358101 431316 467259 477468 517257 623012 646974 689676 716202 934518 970461 1034514 1293948 1401777 1432404 1551771 1869036 1940922 2069028 2803554 3103542 3881844 4205331 4655313 5607108 6207084 8410662 9310626 12615993 16821324 18621252 25231986 50463972 52968001 105936002 158904003 211872004 317808006 476712009 635616012 688584013 953424018 1377168026 1430136027 1906848036 2065752039 2754336052 2860272054 4131504078 4290408081 5720544108 6197256117 8263008156 8580816162 12394512234 17161632324 18591768351 24789024468 37183536702 55775305053 74367073404 111550610106 223101220212