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20400233400 = 2333524019421
BaseRepresentation
bin10010111111111100…
…101101101110111000
31221122201122020021000
4102333330231232320
5313234424432100
613212143445000
71321352060061
oct227774555670
957581566230
1020400233400
118719444328
123b53bb6760
131c0159b531
14db750b568
157e5e78900
hex4bff2dbb8

20400233400 has 192 divisors, whose sum is σ = 70450178400. Its totient is φ = 5425920000.

The previous prime is 20400233377. The next prime is 20400233423. The reversal of 20400233400 is 433200402.

It is an interprime number because it is at equal distance from previous prime (20400233377) and next prime (20400233423).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2160690 + ... + 2170110.

Almost surely, 220400233400 is an apocalyptic number.

20400233400 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 20400233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35225089200).

20400233400 is an abundant number, since it is smaller than the sum of its proper divisors (50049945000).

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

20400233400 is a wasteful number, since it uses less digits than its factorization.

20400233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9847 (or 9832 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20400233400 its reverse (433200402), we get a palindrome (20833433802).

The spelling of 20400233400 in words is "twenty billion, four hundred million, two hundred thirty-three thousand, four hundred".