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190328422400 = 214522389227
BaseRepresentation
bin1011000101000001110…
…1010100000000000000
3200012021022111122012122
42301100131110000000
511104243034004100
6223234034343412
716515341616524
oct2612035240000
9605238448178
10190328422400
1173799483866
1230a7872ab68
1314c426a16ac
1492d780dd84
154e3e33b985
hex2c50754000

190328422400 has 360 divisors, whose sum is σ = 500249856960. Its totient is φ = 71685898240.

The previous prime is 190328422393. The next prime is 190328422411. The reversal of 190328422400 is 4224823091.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838451087 + ... + 838451313.

It is an arithmetic number, because the mean of its divisors is an integer number (1389582936).

Almost surely, 2190328422400 is an apocalyptic number.

190328422400 is a gapful number since it is divisible by the number (10) 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 190328422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250124928480).

190328422400 is an abundant number, since it is smaller than the sum of its proper divisors (309921434560).

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

190328422400 is an equidigital number, since it uses as much as digits as its factorization.

190328422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 190328422400 in words is "one hundred ninety billion, three hundred twenty-eight million, four hundred twenty-two thousand, four hundred".