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1422223202400 = 25352711131394259
BaseRepresentation
bin10100101100100011000…
…110111101100001100000
312000222000011212110002020
4110230203012331201200
5141300203114434100
63005205455021440
7204516005520420
oct24544306754140
95028004773066
101422223202400
114a9185a14170
121ab77780a880
13a4165a78090
144cb9bc8c480
1526ede17c5a0
hex14b231bd860

1422223202400 has 1152 divisors, whose sum is σ = 6261799219200. Its totient is φ = 270767923200.

The previous prime is 1422223202399. The next prime is 1422223202429. The reversal of 1422223202400 is 42023222241.

It is a super-2 number, since 2×14222232024002 (a number of 25 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, 333931471 + ... + 333935729.

It is an arithmetic number, because the mean of its divisors is an integer number (5435589600).

Almost surely, 21422223202400 is an apocalyptic number.

1422223202400 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 1422223202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130899609600).

1422223202400 is an abundant number, since it is smaller than the sum of its proper divisors (4839576016800).

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

1422223202400 is a wasteful number, since it uses less digits than its factorization.

1422223202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4439 counting only the distinct ones).

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

Adding to 1422223202400 its reverse (42023222241), we get a palindrome (1464246424641).

The spelling of 1422223202400 in words is "one trillion, four hundred twenty-two billion, two hundred twenty-three million, two hundred two thousand, four hundred".