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212224341340 = 2251113133721851
BaseRepresentation
bin1100010110100110001…
…1100111010101011100
3202021210021112120022101
43011221203213111130
511434113412410330
6241254452054444
721222055065064
oct3055143472534
9667707476271
10212224341340
1182005120840
1235169604424
1317021ab144b
14a3b381a3a4
1557c175b4ca
hex31698e755c

212224341340 has 96 divisors (see below), whose sum is σ = 491374211328. Its totient is φ = 76352640000.

The previous prime is 212224341337. The next prime is 212224341349. The reversal of 212224341340 is 43143422212.

It is a junction number, because it is equal to n+sod(n) for n = 212224341299 and 212224341308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212224341349) 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, 9701415 + ... + 9723265.

It is an arithmetic number, because the mean of its divisors is an integer number (5118481368).

Almost surely, 2212224341340 is an apocalyptic number.

212224341340 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 212224341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245687105664).

212224341340 is an abundant number, since it is smaller than the sum of its proper divisors (279149869988).

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

212224341340 is a wasteful number, since it uses less digits than its factorization.

212224341340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22339 (or 22337 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 212224341340 its reverse (43143422212), we get a palindrome (255367763552).

The spelling of 212224341340 in words is "two hundred twelve billion, two hundred twenty-four million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 337 524 655 674 1310 1348 1441 1685 2620 2882 3370 3707 5764 6740 7205 7414 14410 14828 18535 21851 28820 37070 43702 44147 74140 87404 88294 109255 176588 218510 220735 240361 437020 441470 480722 485617 882940 961444 971234 1201805 1942468 2403610 2428085 2862481 4807220 4856170 5724962 7363787 9712340 11449924 14312405 14727574 28624810 29455148 31487291 36818935 57249620 62974582 73637870 81001657 125949164 147275740 157436455 162003314 314872910 324006628 405008285 629745820 810016570 964656097 1620033140 1929312194 3858624388 4823280485 9646560970 10611217067 19293121940 21222434134 42444868268 53056085335 106112170670 212224341340