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221213211210 = 232519563229777
BaseRepresentation
bin1100111000000101010…
…1011011101001001010
3210010222201200110122200
43032001111123221022
512111021040224320
6245342434501030
721660604161555
oct3160125335112
9703881613580
10221213211210
11858a80aa812
1236a57a34776
1317b25165664
14a9c757569c
155b4a98a290
hex338155ba4a

221213211210 has 96 divisors (see below), whose sum is σ = 606503626560. Its totient is φ = 55785936384.

The previous prime is 221213211179. The next prime is 221213211217. The reversal of 221213211210 is 12112312122.

221213211210 is a `hidden beast` number, since 221 + 2 + 1 + 321 + 121 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (221213211217) 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, 847842 + ... + 1077618.

It is an arithmetic number, because the mean of its divisors is an integer number (6317746110).

Almost surely, 2221213211210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221213211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303251813280).

221213211210 is an abundant number, since it is smaller than the sum of its proper divisors (385290415350).

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

221213211210 is a wasteful number, since it uses less digits than its factorization.

221213211210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230372 (or 230369 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221213211210 its reverse (12112312122), we get a palindrome (233325523332).

The spelling of 221213211210 in words is "two hundred twenty-one billion, two hundred thirteen million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 563 570 855 1126 1689 1710 2815 3378 5067 5630 8445 10134 10697 16890 21394 25335 32091 50670 53485 64182 96273 106970 160455 192546 229777 320910 459554 481365 689331 962730 1148885 1378662 2067993 2297770 3446655 4135986 4365763 6893310 8731526 10339965 13097289 20679930 21828815 26194578 39291867 43657630 65486445 78583734 129364451 130972890 196459335 258728902 388093353 392918670 646822255 776186706 1164280059 1293644510 1940466765 2328560118 2457924569 3880933530 4915849138 5821400295 7373773707 11642800590 12289622845 14747547414 22121321121 24579245690 36868868535 44242642242 73737737070 110606605605 221213211210