Search a number
-
+
22841700840 = 2333573197313
BaseRepresentation
bin10101010001011110…
…001011000111101000
32011221212200121222000
4111101132023013220
5333234433411330
614254320531000
71436016153000
oct252136130750
964855617860
1022841700840
1197615a9a12
124515780a60
13220034591a
141169883000
158da491560
hex55178b1e8

22841700840 has 512 divisors, whose sum is σ = 89527680000. Its totient is φ = 5177862144.

The previous prime is 22841700823. The next prime is 22841700841. The reversal of 22841700840 is 4800714822.

It is a super-3 number, since 3×228417008403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22841700795 and 22841700804.

It is not an unprimeable number, because it can be changed into a prime (22841700841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72976524 + ... + 72976836.

It is an arithmetic number, because the mean of its divisors is an integer number (174858750).

Almost surely, 222841700840 is an apocalyptic number.

22841700840 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 22841700840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44763840000).

22841700840 is an abundant number, since it is smaller than the sum of its proper divisors (66685979160).

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

22841700840 is a wasteful number, since it uses less digits than its factorization.

22841700840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 22841700840 in words is "twenty-two billion, eight hundred forty-one million, seven hundred thousand, eight hundred forty".