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22380710400 = 293352312089
BaseRepresentation
bin10100110101111111…
…101000101000000000
32010202202020212222000
4110311333220220000
5331313430213100
614140452144000
71421420620356
oct246577505000
963682225860
1022380710400
119545366a84
124407308000
13215899b609
1411245637d6
158aec81900
hex535fe8a00

22380710400 has 480 divisors, whose sum is σ = 84838617600. Its totient is φ = 5772902400.

The previous prime is 22380710353. The next prime is 22380710411. The reversal of 22380710400 is 401708322.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10712556 + ... + 10714644.

It is an arithmetic number, because the mean of its divisors is an integer number (176747120).

Almost surely, 222380710400 is an apocalyptic number.

22380710400 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 22380710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42419308800).

22380710400 is an abundant number, since it is smaller than the sum of its proper divisors (62457907200).

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

22380710400 is a wasteful number, since it uses less digits than its factorization.

22380710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 22380710400 in words is "twenty-two billion, three hundred eighty million, seven hundred ten thousand, four hundred".