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212234144140 = 225174135942409
BaseRepresentation
bin1100010110101000100…
…1000000100110001100
3202021210221222121020001
43011222021000212030
511434123420103030
6241255442134044
721222234313504
oct3055211004614
9667727877201
10212234144140
118200a706827
1235170951324
1317023b34315
14a3b4c4ca04
1557c2545cca
hex316a24098c

212234144140 has 96 divisors (see below), whose sum is σ = 484776835200. Its totient is φ = 77732167680.

The previous prime is 212234144137. The next prime is 212234144167. The reversal of 212234144140 is 41441432212.

It is a junction number, because it is equal to n+sod(n) for n = 212234144099 and 212234144108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4983256 + ... + 5025664.

It is an arithmetic number, because the mean of its divisors is an integer number (5049758700).

Almost surely, 2212234144140 is an apocalyptic number.

212234144140 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 212234144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242388417600).

212234144140 is an abundant number, since it is smaller than the sum of its proper divisors (272542691060).

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

212234144140 is a wasteful number, since it uses less digits than its factorization.

212234144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42835 (or 42833 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 212234144140 its reverse (41441432212), we get a palindrome (253675576352).

The spelling of 212234144140 in words is "two hundred twelve billion, two hundred thirty-four million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 359 410 697 718 820 1394 1436 1795 2788 3485 3590 6103 6970 7180 12206 13940 14719 24412 29438 30515 42409 58876 61030 73595 84818 122060 147190 169636 212045 250223 294380 424090 500446 720953 848180 1000892 1251115 1441906 1738769 2502230 2883812 3477538 3604765 5004460 6955076 7209530 8693845 14419060 15224831 17387690 29559073 30449662 34775380 59118146 60899324 76124155 118236292 147795365 152248310 258822127 295590730 304496620 517644254 591181460 624218071 1035288508 1248436142 1294110635 2496872284 2588221270 3121090355 5176442540 6242180710 10611707207 12484361420 21223414414 42446828828 53058536035 106117072070 212234144140