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20222414400 = 2635219221737
BaseRepresentation
bin10010110101010110…
…011000111001000000
31221012100001002110010
4102311112120321000
5312403414230100
613142352304520
71314062454246
oct226526307100
957170032403
1020222414400
118638031281
123b04542140
131ba37ac2a6
14d9ba60796
157d5551750
hex4b5598e40

20222414400 has 168 divisors, whose sum is σ = 69838600480. Its totient is φ = 5108797440.

The previous prime is 20222414363. The next prime is 20222414431. The reversal of 20222414400 is 441422202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19669 + ... + 202068.

Almost surely, 220222414400 is an apocalyptic number.

20222414400 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 20222414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34919300240).

20222414400 is an abundant number, since it is smaller than the sum of its proper divisors (49616186080).

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

20222414400 is a wasteful number, since it uses less digits than its factorization.

20222414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221781 (or 221766 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 20222414400 its reverse (441422202), we get a palindrome (20663836602).

The spelling of 20222414400 in words is "twenty billion, two hundred twenty-two million, four hundred fourteen thousand, four hundred".