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220134244212 = 22333122339103
BaseRepresentation
bin1100110100000100000…
…1011111111101110100
3210001012112102021012000
43031001001133331310
512101313331303322
6245043412455300
721622063126311
oct3150101377564
9701175367160
10220134244212
11853a4050953
12367b661a530
13179b276a34c
14a92414dd08
155ad5dab3ac
hex334105ff74

220134244212 has 144 divisors (see below), whose sum is σ = 592318621440. Its totient is φ = 70698510720.

The previous prime is 220134244201. The next prime is 220134244229. The reversal of 220134244212 is 212442431022.

It is a happy number.

220134244212 is a `hidden beast` number, since 2 + 20 + 1 + 3 + 424 + 4 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 24178053 + ... + 24187155.

It is an arithmetic number, because the mean of its divisors is an integer number (4113323760).

Almost surely, 2220134244212 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 220134244212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296159310720).

220134244212 is an abundant number, since it is smaller than the sum of its proper divisors (372184377228).

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

220134244212 is a wasteful number, since it uses less digits than its factorization.

220134244212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9411 (or 9372 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 220134244212 its reverse (212442431022), we get a palindrome (432576675234).

The spelling of 220134244212 in words is "two hundred twenty billion, one hundred thirty-four million, two hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 233 279 372 466 558 699 837 932 961 1116 1398 1674 1922 2097 2796 2883 3348 3844 4194 5766 6291 7223 8388 8649 9103 11532 12582 14446 17298 18206 21669 25164 25947 27309 28892 34596 36412 43338 51894 54618 65007 81927 86676 103788 109236 130014 163854 195021 223913 245781 260028 282193 327708 390042 447826 491562 564386 671739 780084 846579 895652 983124 1128772 1343478 1693158 2015217 2120999 2539737 2686956 3386316 4030434 4241998 5079474 6045651 6362997 7619211 8060868 8483996 8747983 10158948 12091302 12725994 15238422 17495966 19088991 24182604 25451988 26243949 30476844 34991932 38177982 52487898 57266973 65750969 76355964 78731847 104975796 114533946 131501938 157463694 197252907 229067892 236195541 263003876 314927388 394505814 472391082 591758721 789011628 944782164 1183517442 1775276163 2038280039 2367034884 3550552326 4076560078 6114840117 7101104652 8153120156 12229680234 18344520351 24459360468 36689040702 55033561053 73378081404 110067122106 220134244212