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214005226260 = 22357836138991
BaseRepresentation
bin1100011101001110110…
…1001001101100010100
3202110101101120220011010
43013103231021230110
512001240314220020
6242151310412220
721314151260310
oct3072355115424
9673341526133
10214005226260
1182839409a61
1235585b01070
1317246a3aac7
14a502158b40
155877c8ade0
hex31d3b49b14

214005226260 has 96 divisors (see below), whose sum is σ = 693067640832. Its totient is φ = 48326129280.

The previous prime is 214005226243. The next prime is 214005226283. The reversal of 214005226260 is 62622500412.

It is a happy number.

214005226260 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 (30).

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 31 ways as a sum of consecutive naturals, for example, 3034636 + ... + 3104355.

It is an arithmetic number, because the mean of its divisors is an integer number (7219454592).

Almost surely, 2214005226260 is an apocalyptic number.

214005226260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214005226260 is an abundant number, since it is smaller than the sum of its proper divisors (479062414572).

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

214005226260 is a wasteful number, since it uses less digits than its factorization.

214005226260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139093 (or 6139091 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 214005226260 its reverse (62622500412), we get a palindrome (276627726672).

The spelling of 214005226260 in words is "two hundred fourteen billion, five million, two hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 996 1162 1245 1660 1743 2324 2490 2905 3486 4980 5810 6972 8715 11620 17430 34860 6138991 12277982 18416973 24555964 30694955 36833946 42972937 61389910 73667892 85945874 92084865 122779820 128918811 171891748 184169730 214864685 257837622 368339460 429729370 509536253 515675244 644594055 859458740 1019072506 1289188110 1528608759 2038145012 2547681265 2578376220 3057217518 3566753771 5095362530 6114435036 7133507542 7643043795 10190725060 10700261313 14267015084 15286087590 17833768855 21400522626 30572175180 35667537710 42801045252 53501306565 71335075420 107002613130 214005226260