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14341202220 = 22353741157561
BaseRepresentation
bin11010101101100110…
…10110000100101100
31101000110111120000210
431112303112010230
5213332321432340
610331021422420
71015250131122
oct152663260454
941013446023
1014341202220
11609a264544
122942a0aa10
131477204797
149a0933912
1558e080180
hex356cd612c

14341202220 has 96 divisors (see below), whose sum is σ = 42246783936. Its totient is φ = 3630182400.

The previous prime is 14341202203. The next prime is 14341202221. The reversal of 14341202220 is 2220214341.

14341202220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143412022202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14341202221) 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, 12240 + ... + 169800.

It is an arithmetic number, because the mean of its divisors is an integer number (440070666).

Almost surely, 214341202220 is an apocalyptic number.

14341202220 is a gapful number since it is divisible by the number (10) 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 14341202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123391968).

14341202220 is an abundant number, since it is smaller than the sum of its proper divisors (27905581716).

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

14341202220 is a wasteful number, since it uses less digits than its factorization.

14341202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157651 (or 157649 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14341202220 its reverse (2220214341), we get a palindrome (16561416561).

The spelling of 14341202220 in words is "fourteen billion, three hundred forty-one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 41 60 74 82 111 123 148 164 185 205 222 246 370 410 444 492 555 615 740 820 1110 1230 1517 2220 2460 3034 4551 6068 7585 9102 15170 18204 22755 30340 45510 91020 157561 315122 472683 630244 787805 945366 1575610 1890732 2363415 3151220 4726830 5829757 6460001 9453660 11659514 12920002 17489271 19380003 23319028 25840004 29148785 32300005 34978542 38760006 58297570 64600010 69957084 77520012 87446355 96900015 116595140 129200020 174892710 193800030 239020037 349785420 387600060 478040074 717060111 956080148 1195100185 1434120222 2390200370 2868240444 3585300555 4780400740 7170601110 14341202220