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20230220400 = 24352132356383
BaseRepresentation
bin10010110101110100…
…001010101001110000
31221012212201200021020
4102311310022221300
5312412414023100
613143231455440
71314216015255
oct226564125160
957185650236
1020230220400
118641483015
123b07087580
131ba52b3320
14d9cad342c
157d60945a0
hex4b5d0aa70

20230220400 has 240 divisors, whose sum is σ = 72824672256. Its totient is φ = 4763151360.

The previous prime is 20230220347. The next prime is 20230220407. The reversal of 20230220400 is 402203202.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20230220400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20230220407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330609 + ... + 386991.

Almost surely, 220230220400 is an apocalyptic number.

20230220400 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 20230220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36412336128).

20230220400 is an abundant number, since it is smaller than the sum of its proper divisors (52594451856).

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

20230220400 is a wasteful number, since it uses less digits than its factorization.

20230220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56440 (or 56429 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 20230220400 its reverse (402203202), we get a palindrome (20632423602).

The spelling of 20230220400 in words is "twenty billion, two hundred thirty million, two hundred twenty thousand, four hundred".