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22009021440 = 2103571712041
BaseRepresentation
bin10100011111110101…
…110000010000000000
32002210211212010120020
4110133311300100000
5330033302141230
614035533413440
71406255411160
oct243765602000
962724763506
1022009021440
11937457861a
12432293a280
1320c9990313
1410cb04c5a0
1588c311810
hex51fd70400

22009021440 has 352 divisors, whose sum is σ = 85190310144. Its totient is φ = 4734320640.

The previous prime is 22009021409. The next prime is 22009021451. The reversal of 22009021440 is 4412090022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22009021440.

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, 1821820 + ... + 1833860.

Almost surely, 222009021440 is an apocalyptic number.

22009021440 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 22009021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42595155072).

22009021440 is an abundant number, since it is smaller than the sum of its proper divisors (63181288704).

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

22009021440 is a wasteful number, since it uses less digits than its factorization.

22009021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12093 (or 12075 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 22009021440 in words is "twenty-two billion, nine million, twenty-one thousand, four hundred forty".