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212223314424 = 2331143313011427
BaseRepresentation
bin1100010110100101111…
…1101100100111111000
3202021210012121101122110
43011221133230213320
511434113132030144
6241254414052320
721222043260132
oct3055137544770
9667705541573
10212223314424
118200458a250
12351691aa0a0
1317021811bc4
14a3b3630052
1557c16070b9
hex31697ec9f8

212223314424 has 128 divisors (see below), whose sum is σ = 580980314880. Its totient is φ = 64067328000.

The previous prime is 212223314399. The next prime is 212223314497. The reversal of 212223314424 is 424413322212.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212223314391 and 212223314400.

It is a congruent number.

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, 148719199 + ... + 148720625.

It is an arithmetic number, because the mean of its divisors is an integer number (4538908710).

Almost surely, 2212223314424 is an apocalyptic number.

212223314424 is a gapful number since it is divisible by the number (24) 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 212223314424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290490157440).

212223314424 is an abundant number, since it is smaller than the sum of its proper divisors (368757000456).

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

212223314424 is a wasteful number, since it uses less digits than its factorization.

212223314424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3177 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 212223314424 its reverse (424413322212), we get a palindrome (636636636636).

The spelling of 212223314424 in words is "two hundred twelve billion, two hundred twenty-three million, three hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 433 866 1299 1301 1427 1732 2598 2602 2854 3464 3903 4281 4763 5196 5204 5708 7806 8562 9526 10392 10408 11416 14289 14311 15612 15697 17124 19052 28578 28622 31224 31394 34248 38104 42933 47091 57156 57244 62788 85866 94182 114312 114488 125576 171732 188364 343464 376728 563333 617891 1126666 1235782 1689999 1853673 1856527 2253332 2471564 3379998 3707346 3713054 4506664 4943128 5569581 6196663 6759996 6796801 7414692 7426108 11139162 12393326 13519992 13593602 14829384 14852216 18589989 20390403 20421797 22278324 24786652 27187204 37179978 40780806 40843594 44556648 49573304 54374408 61265391 74359956 81561612 81687188 122530782 148719912 163123224 163374376 245061564 490123128 803876191 1607752382 2411628573 3215504764 4823257146 6431009528 8842638101 9646514292 17685276202 19293028584 26527914303 35370552404 53055828606 70741104808 106111657212 212223314424