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2223141003400 = 2352172922939833
BaseRepresentation
bin100000010110011101100…
…001111010000010001000
321212112022112000022100111
4200112131201322002020
5242410443044102100
64421144043044104
7316421335511212
oct40263541720210
97775275008314
102223141003400
11787913159389
122baa39510634
13131844c11665
147985a0855b2
153cc67d156ba
hex2059d87a088

2223141003400 has 192 divisors, whose sum is σ = 5664614115600. Its totient is φ = 807652392960.

The previous prime is 2223141003397. The next prime is 2223141003481. The reversal of 2223141003400 is 43001413222.

It can be written as a sum of positive squares in 24 ways, for example, as 14190050884 + 2208950952516 = 119122^2 + 1486254^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226084884 + ... + 226094716.

Almost surely, 22223141003400 is an apocalyptic number.

2223141003400 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 2223141003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832307057800).

2223141003400 is an abundant number, since it is smaller than the sum of its proper divisors (3441473112200).

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

2223141003400 is a wasteful number, since it uses less digits than its factorization.

2223141003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12188 (or 12179 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2223141003400 its reverse (43001413222), we get a palindrome (2266142416622).

The spelling of 2223141003400 in words is "two trillion, two hundred twenty-three billion, one hundred forty-one million, three thousand, four hundred".