Search a number
-
+
221064426 = 2321110910243
BaseRepresentation
bin11010010110100…
…10110011101010
3120101222020101100
431023102303222
5423043030201
633534102230
75323005462
oct1513226352
9511866340
10221064426
1110386aa80
126204a976
1336a5106b
1421506ba2
151461a886
hexd2d2cea

221064426 has 48 divisors (see below), whose sum is σ = 527361120. Its totient is φ = 66368160.

The previous prime is 221064407. The next prime is 221064451. The reversal of 221064426 is 624460122.

221064426 is a `hidden beast` number, since 2 + 2 + 10 + 644 + 2 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221064426.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16461 + ... + 26703.

It is an arithmetic number, because the mean of its divisors is an integer number (10986690).

Almost surely, 2221064426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221064426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263680560).

221064426 is an abundant number, since it is smaller than the sum of its proper divisors (306296694).

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

221064426 is a wasteful number, since it uses less digits than its factorization.

221064426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10371 (or 10368 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 221064426 is about 14868.2354702903. The cubic root of 221064426 is about 604.6531044154.

The spelling of 221064426 in words is "two hundred twenty-one million, sixty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 198 218 327 654 981 1199 1962 2398 3597 7194 10243 10791 20486 21582 30729 61458 92187 112673 184374 225346 338019 676038 1014057 1116487 2028114 2232974 3349461 6698922 10048383 12281357 20096766 24562714 36844071 73688142 110532213 221064426