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20221454400 = 2635271035843
BaseRepresentation
bin10010110101010010…
…101110100001000000
31221012021020022120120
4102311102232201000
5312403143020100
613142315540240
71314051345360
oct226522564100
957167208516
1020221454400
118637535a94
123b0415a680
131ba3534344
14d9b8909a0
157d54120a0
hex4b54ae840

20221454400 has 336 divisors, whose sum is σ = 76570051584. Its totient is φ = 4576389120.

The previous prime is 20221454377. The next prime is 20221454413. The reversal of 20221454400 is 445412202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 3457879 + ... + 3463721.

Almost surely, 220221454400 is an apocalyptic number.

20221454400 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 20221454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38285025792).

20221454400 is an abundant number, since it is smaller than the sum of its proper divisors (56348597184).

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

20221454400 is a wasteful number, since it uses less digits than its factorization.

20221454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 20221454400 its reverse (445412202), we get a palindrome (20666866602).

The spelling of 20221454400 in words is "twenty billion, two hundred twenty-one million, four hundred fifty-four thousand, four hundred".