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212222111220 = 223257712372257
BaseRepresentation
bin1100010110100101101…
…1000110110111110100
3202021210010100021011100
43011221123012313310
511434112330024340
6241254332210100
721222030116220
oct3055133066764
9667703307140
10212222111220
1182003938269
1235168909930
13170214b0352
14a3b33d9780
1557c146a830
hex31696c6df4

212222111220 has 144 divisors (see below), whose sum is σ = 746065651968. Its totient is φ = 47824680960.

The previous prime is 212222111141. The next prime is 212222111263. The reversal of 212222111220 is 22111222212.

It is a happy number.

212222111220 is a `hidden beast` number, since 212 + 2 + 221 + 11 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212222111193 and 212222111202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1096669 + ... + 1275588.

It is an arithmetic number, because the mean of its divisors is an integer number (5181011472).

Almost surely, 2212222111220 is an apocalyptic number.

212222111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212222111220 is an abundant number, since it is smaller than the sum of its proper divisors (533843540748).

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

212222111220 is a wasteful number, since it uses less digits than its factorization.

212222111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372350 (or 2372345 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212222111220 its reverse (22111222212), we get a palindrome (234333333432).

The spelling of 212222111220 in words is "two hundred twelve billion, two hundred twenty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 71 84 90 105 126 140 142 180 210 213 252 284 315 355 420 426 497 630 639 710 852 994 1065 1260 1278 1420 1491 1988 2130 2485 2556 2982 3195 4260 4473 4970 5964 6390 7455 8946 9940 12780 14910 17892 22365 29820 44730 89460 2372257 4744514 7116771 9489028 11861285 14233542 16605799 21350313 23722570 28467084 33211598 35583855 42700626 47445140 49817397 66423196 71167710 83028995 85401252 99634794 106751565 142335420 149452191 166057990 168430247 199269588 213503130 249086985 298904382 332115980 336860494 427006260 498173970 505290741 597808764 673720988 747260955 842151235 996347940 1010581482 1179011729 1494521910 1515872223 1684302470 2021162964 2358023458 2526453705 2989043820 3031744446 3368604940 3537035187 4716046916 5052907410 5895058645 6063488892 7074070374 7579361115 10105814820 10611105561 11790117290 14148140748 15158722230 17685175935 21222211122 23580234580 30317444460 35370351870 42444422244 53055527805 70740703740 106111055610 212222111220