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20242433400 = 23352723209549
BaseRepresentation
bin10010110110100010…
…110000010101111000
31221020201201011100120
4102312202300111320
5312424030332100
613144345333240
71314424562550
oct226642602570
957221634316
1020242433400
118648364902
123b0b197220
131ba799b257
14da0592160
157d71a80a0
hex4b68b0578

20242433400 has 192 divisors, whose sum is σ = 74834496000. Its totient is φ = 4425653760.

The previous prime is 20242433381. The next prime is 20242433401. The reversal of 20242433400 is 433424202.

It is a super-2 number, since 2×202424334002 (a number of 21 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 not an unprimeable number, because it can be changed into a prime (20242433401) 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, 8175 + ... + 201374.

It is an arithmetic number, because the mean of its divisors is an integer number (389763000).

Almost surely, 220242433400 is an apocalyptic number.

20242433400 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 20242433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37417248000).

20242433400 is an abundant number, since it is smaller than the sum of its proper divisors (54592062600).

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

20242433400 is a wasteful number, since it uses less digits than its factorization.

20242433400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209598 (or 209589 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 20242433400 its reverse (433424202), we get a palindrome (20675857602).

The spelling of 20242433400 in words is "twenty billion, two hundred forty-two million, four hundred thirty-three thousand, four hundred".