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221946930 = 23259112707
BaseRepresentation
bin11010011101010…
…10010000110010
3120110122001221200
431032222100302
5423304300210
634005032030
75333342412
oct1516522062
9513561850
10221946930
11104313017
12623b5616
1336c9c95a
1421696642
15147420c0
hexd3aa432

221946930 has 48 divisors (see below), whose sum is σ = 577908864. Its totient is φ = 59099040.

The previous prime is 221946929. The next prime is 221946931. The reversal of 221946930 is 39649122.

221946930 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221946929) and next prime (221946931).

It is not an unprimeable number, because it can be changed into a prime (221946931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80637 + ... + 83343.

It is an arithmetic number, because the mean of its divisors is an integer number (12039768).

Almost surely, 2221946930 is an apocalyptic number.

221946930 is an abundant number, since it is smaller than the sum of its proper divisors (355961934).

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

221946930 is a wasteful number, since it uses less digits than its factorization.

221946930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 221946930 is about 14897.8834067125. The cubic root of 221946930 is about 605.4566413393.

The spelling of 221946930 in words is "two hundred twenty-one million, nine hundred forty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 911 1822 2707 2733 4555 5414 5466 8121 8199 9110 13535 13665 16242 16398 24363 27070 27330 40605 40995 48726 81210 81990 121815 243630 2466077 4932154 7398231 12330385 14796462 22194693 24660770 36991155 44389386 73982310 110973465 221946930