Search a number
-
+
221074640 = 2453197919
BaseRepresentation
bin11010010110101…
…01010011010000
3120101222202101122
431023111103100
5423043342030
633534221412
75323050323
oct1513252320
9511882348
10221074640
11103877716
1262054868
1336a558c7
142150a7ba
151461d8e5
hexd2d54d0

221074640 has 80 divisors (see below), whose sum is σ = 536632320. Its totient is φ = 84602880.

The previous prime is 221074631. The next prime is 221074649. The reversal of 221074640 is 46470122.

It is an interprime number because it is at equal distance from previous prime (221074631) and next prime (221074649).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2210746402 = 97747992902259200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221074649) 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 15 ways as a sum of consecutive naturals, for example, 240101 + ... + 241019.

It is an arithmetic number, because the mean of its divisors is an integer number (6707904).

Almost surely, 2221074640 is an apocalyptic number.

221074640 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 221074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268316160).

221074640 is an abundant number, since it is smaller than the sum of its proper divisors (315557680).

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

221074640 is a wasteful number, since it uses less digits than its factorization.

221074640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 221074640 is about 14868.5789502561. The cubic root of 221074640 is about 604.6624166806.

The spelling of 221074640 in words is "two hundred twenty-one million, seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 97 124 155 194 248 310 388 485 496 620 776 919 970 1240 1552 1838 1940 2480 3007 3676 3880 4595 6014 7352 7760 9190 12028 14704 15035 18380 24056 28489 30070 36760 48112 56978 60140 73520 89143 113956 120280 142445 178286 227912 240560 284890 356572 445715 455824 569780 713144 891430 1139560 1426288 1782860 2279120 2763433 3565720 5526866 7131440 11053732 13817165 22107464 27634330 44214928 55268660 110537320 221074640