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221440986 = 23313331953
BaseRepresentation
bin11010011001011…
…10101111011010
3120102200100221000
431030232233122
5423142102421
633550125430
75326134354
oct1514565732
9512610830
10221440986
11103aa7988
12621b0876
1336b53590
14215a40d4
1514692226
hexd32ebda

221440986 has 64 divisors (see below), whose sum is σ = 532103040. Its totient is φ = 67858560.

The previous prime is 221440981. The next prime is 221441053. The reversal of 221440986 is 689044122.

It is a super-2 number, since 2×2214409862 = 98072220561304392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221440986.

It is not an unprimeable number, because it can be changed into a prime (221440981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231886 + ... + 232838.

It is an arithmetic number, because the mean of its divisors is an integer number (8314110).

Almost surely, 2221440986 is an apocalyptic number.

221440986 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221440986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266051520).

221440986 is an abundant number, since it is smaller than the sum of its proper divisors (310662054).

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

221440986 is a wasteful number, since it uses less digits than its factorization.

221440986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 221440986 is about 14880.8933199590. The cubic root of 221440986 is about 604.9962306529.

The spelling of 221440986 in words is "two hundred twenty-one million, four hundred forty thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 331 351 662 702 953 993 1906 1986 2859 2979 4303 5718 5958 8577 8606 8937 12389 12909 17154 17874 24778 25731 25818 37167 38727 51462 74334 77454 111501 116181 223002 232362 315443 334503 630886 669006 946329 1892658 2838987 4100759 5677974 8201518 8516961 12302277 17033922 24604554 36906831 73813662 110720493 221440986