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2230232312220 = 2235114819770111
BaseRepresentation
bin100000011101000100001…
…101000110100110011100
321220012121201120010021220
4200131010031012212130
5243020003432442340
64424315442253340
7320062143604023
oct40350415064634
97805551503256
102230232312220
1178a921aa8690
12300298357250
13132405107193
1479d2dbad8ba
153d030668ed0
hex2074434699c

2230232312220 has 96 divisors (see below), whose sum is σ = 6812584482816. Its totient is φ = 540643449600.

The previous prime is 2230232312219. The next prime is 2230232312237. The reversal of 2230232312220 is 222132320322.

It is a super-3 number, since 3×22302323122203 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 31774965 + ... + 31845075.

It is an arithmetic number, because the mean of its divisors is an integer number (70964421696).

Almost surely, 22230232312220 is an apocalyptic number.

2230232312220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230232312220 is an abundant number, since it is smaller than the sum of its proper divisors (4582352170596).

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

2230232312220 is a wasteful number, since it uses less digits than its factorization.

2230232312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118331 (or 118329 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2230232312220 its reverse (222132320322), we get a palindrome (2452364632542).

It can be divided in two parts, 2230232 and 312220, that added together give a palindrome (2542452).

The spelling of 2230232312220 in words is "two trillion, two hundred thirty billion, two hundred thirty-two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 48197 70111 96394 140222 144591 192788 210333 240985 280444 289182 350555 420666 481970 530167 578364 701110 722955 771221 841332 963940 1051665 1060334 1402220 1445910 1542442 1590501 2103330 2120668 2313663 2650835 2891820 3084884 3181002 3856105 4206660 4627326 5301670 6362004 7712210 7952505 9254652 10603340 11568315 15424420 15905010 23136630 31810020 46273260 3379139867 6758279734 10137419601 13516559468 16895699335 20274839202 33791398670 37170538537 40549678404 50687098005 67582797340 74341077074 101374196010 111511615611 148682154148 185852692685 202748392020 223023231222 371705385370 446046462444 557558078055 743410770740 1115116156110 2230232312220