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2022880640208 = 2431073557110729
BaseRepresentation
bin11101011011111101000…
…101001111110011010000
321011101102000210210200220
4131123331011033303100
5231120324420441313
64145144252313040
7266101603510641
oct35337505176320
97141360723626
102022880640208
1170a99842649a
1228806a772780
131189ab991b2c
146dc9d58b6c8
1537946ab1823
hex1d6fd14fcd0

2022880640208 has 80 divisors (see below), whose sum is σ = 5276144537280. Its totient is φ = 667797910528.

The previous prime is 2022880640203. The next prime is 2022880640227. The reversal of 2022880640208 is 8020460882202.

It is a self number, because there is not a number n which added to its sum of digits gives 2022880640208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022880640203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18213388 + ... + 18324116.

It is an arithmetic number, because the mean of its divisors is an integer number (65951806716).

Almost surely, 22022880640208 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 2022880640208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638072268640).

2022880640208 is an abundant number, since it is smaller than the sum of its proper divisors (3253263897072).

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

2022880640208 is a wasteful number, since it uses less digits than its factorization.

2022880640208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114404 (or 114398 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 2022880640208 in words is "two trillion, twenty-two billion, eight hundred eighty million, six hundred forty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 3557 5136 7114 10671 14228 21342 28456 42684 56912 85368 110729 170736 221458 332187 380599 442916 664374 761198 885832 1141797 1328748 1522396 1771664 2283594 2657496 3044792 4567188 5314992 6089584 9134376 11848003 18268752 23696006 35544009 47392012 71088018 94784024 142176036 189568048 284352072 393863053 568704144 787726106 1181589159 1575452212 2363178318 3150904424 4726356636 6301808848 9452713272 18905426544 42143346671 84286693342 126430040013 168573386684 252860080026 337146773368 505720160052 674293546736 1011440320104 2022880640208