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22042400000 = 285559467
BaseRepresentation
bin10100100001110101…
…000101010100000000
32002220011122221100012
4110201311011110000
5330120323300000
614043125044052
71410142210565
oct244165052400
962804587305
1022042400000
1193913a6405
124331b56628
13210387904a
1410d165a86c
15890206735
hex521d45500

22042400000 has 216 divisors, whose sum is σ = 56046725280. Its totient is φ = 8648960000.

The previous prime is 22042399999. The next prime is 22042400057. The reversal of 22042400000 is 424022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47199767 + ... + 47200233.

It is an arithmetic number, because the mean of its divisors is an integer number (259475580).

Almost surely, 222042400000 is an apocalyptic number.

22042400000 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 22042400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28023362640).

22042400000 is an abundant number, since it is smaller than the sum of its proper divisors (34004325280).

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

22042400000 is an frugal number, since it uses more digits than its factorization.

22042400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 22042400000 its reverse (424022), we get a palindrome (22042824022).

The spelling of 22042400000 in words is "twenty-two billion, forty-two million, four hundred thousand".