Search a number
-
+
2822189040 = 2434511172137
BaseRepresentation
bin1010100000110111…
…0010111111110000
321021200110001120000
42220031302333300
521234440022130
61144013150000
7126636132246
oct25015627760
97250401500
102822189040
111219063440
1266918b300
1335c8c8b58
141cab5c796
15117b6e260
hexa8372ff0

2822189040 has 600 divisors, whose sum is σ = 11441870352. Its totient is φ = 639221760.

The previous prime is 2822189003. The next prime is 2822189053. The reversal of 2822189040 is 409812282.

It is a super-2 number, since 2×28221890402 = 15929501954992243200, which contains 22 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 = 2822188986 and 2822189004.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 20599852 + ... + 20599988.

Almost surely, 22822189040 is an apocalyptic number.

2822189040 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 2822189040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720935176).

2822189040 is an abundant number, since it is smaller than the sum of its proper divisors (8619681312).

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

2822189040 is a wasteful number, since it uses less digits than its factorization.

2822189040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2822189040 is about 53124.2791951100. The cubic root of 2822189040 is about 1413.1731163069.

The spelling of 2822189040 in words is "two billion, eight hundred twenty-two million, one hundred eighty-nine thousand, forty".