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221793970216 = 23713304662047
BaseRepresentation
bin1100111010001111110…
…0110110100000101000
3210012111012111002020111
43032203330312200220
512113213224021331
6245520222304104
722011155432530
oct3164374664050
9705435432214
10221793970216
1186075a06635
1236b9a428034
1317bb8585440
14aa407504c0
155b81956db1
hex33a3f36828

221793970216 has 32 divisors (see below), whose sum is σ = 511832240640. Its totient is φ = 87742669248.

The previous prime is 221793970171. The next prime is 221793970243. The reversal of 221793970216 is 612079397122.

It is a happy number.

221793970216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 221793970216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152330296 + ... + 152331751.

It is an arithmetic number, because the mean of its divisors is an integer number (15994757520).

Almost surely, 2221793970216 is an apocalyptic number.

221793970216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

221793970216 is an abundant number, since it is smaller than the sum of its proper divisors (290038270424).

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

221793970216 is a wasteful number, since it uses less digits than its factorization.

221793970216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304662073 (or 304662069 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The spelling of 221793970216 in words is "two hundred twenty-one billion, seven hundred ninety-three million, nine hundred seventy thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 304662047 609324094 1218648188 2132634329 2437296376 3960606611 4265268658 7921213222 8530537316 15842426444 17061074632 27724246277 31684852888 55448492554 110896985108 221793970216