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221040040 = 23513715987
BaseRepresentation
bin11010010110011…
…00110110101000
3120101220222221011
431023030312220
5423041240130
633533353304
75322544414
oct1513146650
9511828834
10221040040
11103853721
1262038834
1336a42c30
14214dbd44
151461352a
hexd2ccda8

221040040 has 64 divisors (see below), whose sum is σ = 543231360. Its totient is φ = 80451840.

The previous prime is 221040037. The next prime is 221040067. The reversal of 221040040 is 40040122.

221040040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 221040040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33927 + ... + 39913.

It is an arithmetic number, because the mean of its divisors is an integer number (8487990).

Almost surely, 2221040040 is an apocalyptic number.

221040040 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 221040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271615680).

221040040 is an abundant number, since it is smaller than the sum of its proper divisors (322191320).

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

221040040 is a wasteful number, since it uses less digits than its factorization.

221040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6082 (or 6078 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 221040040 is about 14867.4153772604. The cubic root of 221040040 is about 604.6308701538.

Adding to 221040040 its reverse (40040122), we get a palindrome (261080162).

The spelling of 221040040 in words is "two hundred twenty-one million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 355 520 568 710 923 1420 1846 2840 3692 4615 5987 7384 9230 11974 18460 23948 29935 36920 47896 59870 77831 119740 155662 239480 311324 389155 425077 622648 778310 850154 1556620 1700308 2125385 3113240 3400616 4250770 5526001 8501540 11052002 17003080 22104004 27630005 44208008 55260010 110520020 221040040