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22066007040 = 210345711691
BaseRepresentation
bin10100100011001111…
…001000110000000000
32002221211002022010000
4110203033020300000
5330142344211130
614045331040000
71410546652020
oct244317106000
962854068100
1022066007040
1193a375a760
124339a40000
1321087231cc
1410d4843a80
1589231b260
hex5233c8c00

22066007040 has 880 divisors, whose sum is σ = 98726056704. Its totient is φ = 4578508800.

The previous prime is 22066007039. The next prime is 22066007077. The reversal of 22066007040 is 4070066022.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a junction number, because it is equal to n+sod(n) for n = 22066006995 and 22066007013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31933095 + ... + 31933785.

Almost surely, 222066007040 is an apocalyptic number.

22066007040 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 22066007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49363028352).

22066007040 is an abundant number, since it is smaller than the sum of its proper divisors (76660049664).

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

22066007040 is a wasteful number, since it uses less digits than its factorization.

22066007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 22066007040 in words is "twenty-two billion, sixty-six million, seven thousand, forty".