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221136530420 = 2251337173971
BaseRepresentation
bin1100110111110011000…
…0111010101111110100
3210010210101101200101102
43031330300322233310
512110341422433140
6245331055145232
721655653331451
oct3157460725764
9703711350342
10221136530420
1185868896363
1236a36215218
1317b122c8000
14a9bb2d4828
155b43d8ee15
hex337cc3abf4

221136530420 has 192 divisors, whose sum is σ = 517674447360. Its totient is φ = 79315891200.

The previous prime is 221136530389. The next prime is 221136530437. The reversal of 221136530420 is 24035631122.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 227740535 + ... + 227741505.

It is an arithmetic number, because the mean of its divisors is an integer number (2696221080).

Almost surely, 2221136530420 is an apocalyptic number.

221136530420 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 221136530420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258837223680).

221136530420 is an abundant number, since it is smaller than the sum of its proper divisors (296537916940).

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

221136530420 is a wasteful number, since it uses less digits than its factorization.

221136530420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 221136530420 in words is "two hundred twenty-one billion, one hundred thirty-six million, five hundred thirty thousand, four hundred twenty".