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22190014000 = 2453711891619
BaseRepresentation
bin10100101010101000…
…001011111000110000
32010021110102111200101
4110222220023320300
5330421120422000
614105521002144
71413614002240
oct245250137060
963243374611
1022190014000
119457758a50
124373483354
132128320bcb
1411070c3b20
1589d163e6a
hex52aa0be30

22190014000 has 320 divisors, whose sum is σ = 67688524800. Its totient is φ = 6834432000.

The previous prime is 22190013971. The next prime is 22190014001. The reversal of 22190014000 is 41009122.

It is not an unprimeable number, because it can be changed into a prime (22190014001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13705191 + ... + 13706809.

It is an arithmetic number, because the mean of its divisors is an integer number (211526640).

Almost surely, 222190014000 is an apocalyptic number.

22190014000 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 22190014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33844262400).

22190014000 is an abundant number, since it is smaller than the sum of its proper divisors (45498510800).

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

22190014000 is a wasteful number, since it uses less digits than its factorization.

22190014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 22190014000 in words is "twenty-two billion, one hundred ninety million, fourteen thousand".