Search a number
-
+
222120220020 = 223573316316033
BaseRepresentation
bin1100111011011101100…
…1011001010101110100
3210020022221101021211120
43032313121121111310
512114400234020040
6250012435103540
722022226501246
oct3166731312564
9706287337746
10222120220020
1186223089976
123706b741bb0
1317c3b04426a
14aa71bd8096
155ba03ed7d0
hex33b7659574

222120220020 has 96 divisors (see below), whose sum is σ = 630694952832. Its totient is φ = 58398547968.

The previous prime is 222120220019. The next prime is 222120220027. The reversal of 222120220020 is 20022021222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120220027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13845924 + ... + 13861956.

It is an arithmetic number, because the mean of its divisors is an integer number (6569739092).

Almost surely, 2222120220020 is an apocalyptic number.

222120220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222120220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315347476416).

222120220020 is an abundant number, since it is smaller than the sum of its proper divisors (408574732812).

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

222120220020 is a wasteful number, since it uses less digits than its factorization.

222120220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19281 (or 19279 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 222120220020 its reverse (20022021222), we get a palindrome (242142241242).

The spelling of 222120220020 in words is "two hundred twenty-two billion, one hundred twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 3163 4380 6326 9489 12652 15815 16033 18978 31630 32066 37956 47445 48099 63260 64132 80165 94890 96198 160330 189780 192396 230899 240495 320660 461798 480990 692697 923596 961980 1154495 1170409 1385394 2308990 2340818 2770788 3463485 3511227 4617980 4681636 5852045 6926970 7022454 11704090 13853940 14044908 17556135 23408180 35112270 50712379 70224540 101424758 152137137 202849516 253561895 304274274 507123790 608548548 760685685 1014247580 1521371370 3042742740 3702003667 7404007334 11106011001 14808014668 18510018335 22212022002 37020036670 44424044004 55530055005 74040073340 111060110010 222120220020