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2243042201400 = 233527111337100937
BaseRepresentation
bin100000101000111111101…
…110111100111100111000
321221102200110121220201220
4200220333232330330320
5243222222300421100
64434234522512040
7321024451062510
oct40507756747470
97842613556656
102243042201400
117952a5934a60
12302872365620
13133696ca4b70
147a7c71ac840
153d530066aa0
hex20a3fbbcf38

2243042201400 has 768 divisors, whose sum is σ = 9588496296960. Its totient is φ = 418601779200.

The previous prime is 2243042201383. The next prime is 2243042201441. The reversal of 2243042201400 is 41022403422.

It is a super-2 number, since 2×22430422014002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22171732 + ... + 22272668.

It is an arithmetic number, because the mean of its divisors is an integer number (12485021220).

Almost surely, 22243042201400 is an apocalyptic number.

2243042201400 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 2243042201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794248148480).

2243042201400 is an abundant number, since it is smaller than the sum of its proper divisors (7345454095560).

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

2243042201400 is a wasteful number, since it uses less digits than its factorization.

2243042201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101024 (or 101015 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2243042201400 its reverse (41022403422), we get a palindrome (2284064604822).

It can be divided in two parts, 2243042 and 201400, that added together give a palindrome (2444442).

The spelling of 2243042201400 in words is "two trillion, two hundred forty-three billion, forty-two million, two hundred one thousand, four hundred".