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322223243140 = 2251719101493859
BaseRepresentation
bin1001011000001100000…
…00000111111110000100
31010210201021212202020101
410230012000013332010
520234403122240030
6404005522213444
732164664242561
oct4540600077604
91123637782211
10322223243140
11114721690847
1252547ab4284
1324501cb5516
141184a7d5868
1585ad6d87ca
hex4b06007f84

322223243140 has 96 divisors (see below), whose sum is σ = 761650646400. Its totient is φ = 113784883200.

The previous prime is 322223243119. The next prime is 322223243143. The reversal of 322223243140 is 41342322223.

It is a junction number, because it is equal to n+sod(n) for n = 322223243099 and 322223243108.

It is not an unprimeable number, because it can be changed into a prime (322223243143) 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, 405531 + ... + 899389.

It is an arithmetic number, because the mean of its divisors is an integer number (7933860900).

Almost surely, 2322223243140 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 322223243140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380825323200).

322223243140 is an abundant number, since it is smaller than the sum of its proper divisors (439427403260).

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

322223243140 is a wasteful number, since it uses less digits than its factorization.

322223243140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494005 (or 494003 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 322223243140 its reverse (41342322223), we get a palindrome (363565565363).

The spelling of 322223243140 in words is "three hundred twenty-two billion, two hundred twenty-three million, two hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 101 170 190 202 323 340 380 404 505 646 1010 1292 1615 1717 1919 2020 3230 3434 3838 6460 6868 7676 8585 9595 17170 19190 32623 34340 38380 65246 130492 163115 326230 493859 652460 987718 1975436 2469295 4938590 8395603 9383321 9877180 16791206 18766642 33582412 37533284 41978015 46916605 49879759 83956030 93833210 99759518 159516457 167912060 187666420 199519036 249398795 319032914 498797590 638065828 797582285 847955903 947715421 997595180 1595164570 1695911806 1895430842 3190329140 3391823612 3790861684 4239779515 4738577105 8479559030 9477154210 16111162157 16959118060 18954308420 32222324314 64444648628 80555810785 161111621570 322223243140