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2231444031400 = 235297331146329
BaseRepresentation
bin100000011110001100011…
…011011100011110101000
321220022202011121211112001
4200132030123130132220
5243024444133001100
64425040005500344
7320134156212013
oct40361433343650
97808664554461
102231444031400
11790393a891a1
123005761116b4
1313256917288c
147a006ab037a
153d0a1c1bd6a
hex2078c6dc7a8

2231444031400 has 48 divisors (see below), whose sum is σ = 5188644942300. Its totient is φ = 892485127680.

The previous prime is 2231444031391. The next prime is 2231444031409. The reversal of 2231444031400 is 41304441322.

It is an interprime number because it is at equal distance from previous prime (2231444031391) and next prime (2231444031409).

It can be written as a sum of positive squares in 6 ways, for example, as 624122120196 + 1607321911204 = 790014^2 + 1267802^2 .

It is a super-4 number, since 4×22314440314004 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (2231444031409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1373436 + ... + 2519764.

Almost surely, 22231444031400 is an apocalyptic number.

2231444031400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231444031400 is an abundant number, since it is smaller than the sum of its proper divisors (2957200910900).

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

2231444031400 is a wasteful number, since it uses less digits than its factorization.

2231444031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156078 (or 1156069 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2231444031400 its reverse (41304441322), we get a palindrome (2272748472722).

The spelling of 2231444031400 in words is "two trillion, two hundred thirty-one billion, four hundred forty-four million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 9733 19466 38932 48665 77864 97330 194660 243325 389320 486650 973300 1146329 1946600 2292658 4585316 5731645 9170632 11463290 22926580 28658225 45853160 57316450 114632900 229265800 11157220157 22314440314 44628880628 55786100785 89257761256 111572201570 223144403140 278930503925 446288806280 557861007850 1115722015700 2231444031400