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221440444340 = 22531691516877
BaseRepresentation
bin1100111000111011100…
…0010000011110110100
3210011120120021002220112
43032032320100132310
512112002223204330
6245421153122152
721666333502043
oct3161670203664
9704516232815
10221440444340
1185a043a3395
1236abbb59358
1317b6026642b
14aa0980655a
155b608c3795
hex338ee107b4

221440444340 has 48 divisors (see below), whose sum is σ = 480721350144. Its totient is φ = 85594665600.

The previous prime is 221440444307. The next prime is 221440444373. The reversal of 221440444340 is 43444044122.

221440444340 is digitally balanced in base 2 and base 3, because in such bases 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 (221440444307) and next prime (221440444373).

It is a junction number, because it is equal to n+sod(n) for n = 221440444297 and 221440444306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169982 + ... + 686858.

It is an arithmetic number, because the mean of its divisors is an integer number (10015028128).

Almost surely, 2221440444340 is an apocalyptic number.

221440444340 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 221440444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240360675072).

221440444340 is an abundant number, since it is smaller than the sum of its proper divisors (259280905804).

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

221440444340 is a wasteful number, since it uses less digits than its factorization.

221440444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517608 (or 517606 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 221440444340 its reverse (43444044122), we get a palindrome (264884488462).

The spelling of 221440444340 in words is "two hundred twenty-one billion, four hundred forty million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 691 1382 2764 3455 6910 13820 21421 42842 85684 107105 214210 428420 516877 1033754 2067508 2584385 5168770 10337540 16023187 32046374 64092748 80115935 160231870 320463740 357162007 714324014 1428648028 1785810035 3571620070 7143240140 11072022217 22144044434 44288088868 55360111085 110720222170 221440444340