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234221405400 = 2332525311321727
BaseRepresentation
bin1101101000100010101…
…1110000010011011000
3211101120021220012102200
43122020223300103120
512314141134433100
6255333321330200
722631140045143
oct3321053602330
9741507805380
10234221405400
1190372971624
1239488336960
1319119145c98
14b49d03505a
15615c9a9e00
hex3688af04d8

234221405400 has 288 divisors, whose sum is σ = 808564498560. Its totient is φ = 60735467520.

The previous prime is 234221405399. The next prime is 234221405477. The reversal of 234221405400 is 4504122432.

234221405400 is a `hidden beast` number, since 2 + 3 + 42 + 214 + 0 + 5 + 400 = 666.

234221405400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2342214054002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10769337 + ... + 10791063.

It is an arithmetic number, because the mean of its divisors is an integer number (2807515620).

Almost surely, 2234221405400 is an apocalyptic number.

234221405400 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 234221405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404282249280).

234221405400 is an abundant number, since it is smaller than the sum of its proper divisors (574343093160).

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

234221405400 is a wasteful number, since it uses less digits than its factorization.

234221405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21915 (or 21903 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 234221405400 its reverse (4504122432), we get a palindrome (238725527832).

The spelling of 234221405400 in words is "two hundred thirty-four billion, two hundred twenty-one million, four hundred five thousand, four hundred".