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221313404000 = 25531312293463
BaseRepresentation
bin1100111000011101001…
…1101000110001100000
3210011020201012210022202
43032013103220301200
512111222212412000
6245400414152332
721663231616043
oct3160723506140
9704221183282
10221313404000
1185949713077
1236a854b26a8
1317b3cb45b30
14a9d69b6c5a
155b5467bdd5
hex33874e8c60

221313404000 has 192 divisors, whose sum is σ = 586240986240. Its totient is φ = 81625651200.

The previous prime is 221313403939. The next prime is 221313404017. The reversal of 221313404000 is 404313122.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 63906269 + ... + 63909731.

It is an arithmetic number, because the mean of its divisors is an integer number (3053338470).

Almost surely, 2221313404000 is an apocalyptic number.

221313404000 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 221313404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293120493120).

221313404000 is an abundant number, since it is smaller than the sum of its proper divisors (364927582240).

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

221313404000 is a wasteful number, since it uses less digits than its factorization.

221313404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 221313404000 its reverse (404313122), we get a palindrome (221717717122).

The spelling of 221313404000 in words is "two hundred twenty-one billion, three hundred thirteen million, four hundred four thousand".