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2312223001000 = 2353112103185527
BaseRepresentation
bin100001101001011011001…
…110110000100110101000
322012001020210111122220221
4201221123032300212220
5300340413042013000
64530115351255424
7326024020140013
oct41513316604650
98161223448827
102312223001000
11811676671700
1231415a97a574
1313a0707a6143
147dcab09c37a
154022d7ab61a
hex21a5b3b09a8

2312223001000 has 192 divisors, whose sum is σ = 6004962512640. Its totient is φ = 832640688000.

The previous prime is 2312223000851. The next prime is 2312223001043. The reversal of 2312223001000 is 1003222132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12370237 + ... + 12555763.

It is an arithmetic number, because the mean of its divisors is an integer number (31275846420).

Almost surely, 22312223001000 is an apocalyptic number.

2312223001000 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 2312223001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002481256320).

2312223001000 is an abundant number, since it is smaller than the sum of its proper divisors (3692739511640).

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

2312223001000 is a wasteful number, since it uses less digits than its factorization.

2312223001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185673 (or 185648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2312223001000 its reverse (1003222132), we get a palindrome (2313226223132).

The spelling of 2312223001000 in words is "two trillion, three hundred twelve billion, two hundred twenty-three million, one thousand".