Search a number
-
+
10923822000 = 243553713219
BaseRepresentation
bin10100010110001110…
…00100101110110000
31001012022002122200000
422023013010232300
5134332444301000
65003543230000
7534462645360
oct121307045660
931168078600
1010923822000
1146a6238173
12214a448300
131051204b00
14758b209a0
1543e043000
hex28b1c4bb0

10923822000 has 1440 divisors, whose sum is σ = 51541701120. Its totient is φ = 2183500800.

The previous prime is 10923821969. The next prime is 10923822001. The reversal of 10923822000 is 22832901.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10923822001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 574937991 + ... + 574938009.

It is an arithmetic number, because the mean of its divisors is an integer number (35792848).

Almost surely, 210923822000 is an apocalyptic number.

10923822000 is a gapful number since it is divisible by the number (10) 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 10923822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25770850560).

10923822000 is an abundant number, since it is smaller than the sum of its proper divisors (40617879120).

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

10923822000 is a wasteful number, since it uses less digits than its factorization.

10923822000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10923822000 in words is "ten billion, nine hundred twenty-three million, eight hundred twenty-two thousand".