Search a number
-
+
221790990640 = 2453477989589
BaseRepresentation
bin1100111010001111000…
…1011111000100110000
3210012110222212201000211
43032203301133010300
512113211443200030
6245520034353504
722011121212652
oct3164361370460
9705428781024
10221790990640
1186074260a7a
1236b9942b894
1317bb7a8118b
14aa401b66d2
155b8156912a
hex33a3c5f130

221790990640 has 40 divisors (see below), whose sum is σ = 517150181520. Its totient is φ = 88460718336.

The previous prime is 221790990623. The next prime is 221790990643. The reversal of 221790990640 is 46099097122.

221790990640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (221790990643) by changing a digit.

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, 3967035 + ... + 4022554.

It is an arithmetic number, because the mean of its divisors is an integer number (12928754538).

Almost surely, 2221790990640 is an apocalyptic number.

221790990640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221790990640 is an abundant number, since it is smaller than the sum of its proper divisors (295359190880).

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

221790990640 is a wasteful number, since it uses less digits than its factorization.

221790990640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989949 (or 7989943 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The spelling of 221790990640 in words is "two hundred twenty-one billion, seven hundred ninety million, nine hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 347 694 1388 1735 2776 3470 5552 6940 13880 27760 7989589 15979178 31958356 39947945 63916712 79895890 127833424 159791780 319583560 639167120 2772387383 5544774766 11089549532 13861936915 22179099064 27723873830 44358198128 55447747660 110895495320 221790990640