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22000424040 = 2333573897481
BaseRepresentation
bin10100011111010100…
…111101010001101000
32002210020200100011000
4110133110331101220
5330024102032130
614035025235000
71406122342650
oct243724752150
962706610130
1022000424040
11936a736231
12431ba92a60
1320c7c6ccba
1410c9c51360
1588b6b4260
hex51f53d468

22000424040 has 256 divisors, whose sum is σ = 84037824000. Its totient is φ = 5015070720.

The previous prime is 22000424023. The next prime is 22000424051. The reversal of 22000424040 is 4042400022.

22000424040 is a `hidden beast` number, since 2 + 200 + 0 + 424 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2937100 + ... + 2944580.

It is an arithmetic number, because the mean of its divisors is an integer number (328272750).

Almost surely, 222000424040 is an apocalyptic number.

22000424040 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 22000424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42018912000).

22000424040 is an abundant number, since it is smaller than the sum of its proper divisors (62037399960).

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

22000424040 is a wasteful number, since it uses less digits than its factorization.

22000424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7897 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22000424040 its reverse (4042400022), we get a palindrome (26042824062).

It can be divided in two parts, 22000 and 424040, that added together give a triangular number (446040 = T944).

The spelling of 22000424040 in words is "twenty-two billion, four hundred twenty-four thousand, forty".