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14220310200 = 23352122319379
BaseRepresentation
bin11010011111001100…
…01011011010111000
31100201001000121100120
431033212023122320
5213110344411300
610311022333240
71012251433215
oct151746133270
940631017316
1014220310200
116037aa3588
12290a42a220
131458157845
1498c864b0c
155836503a0
hex34f98b6b8

14220310200 has 96 divisors (see below), whose sum is σ = 44121283200. Its totient is φ = 3788786560.

The previous prime is 14220310199. The next prime is 14220310217. The reversal of 14220310200 is 201302241.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14220310200.

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 23 ways as a sum of consecutive naturals, for example, 724111 + ... + 743489.

It is an arithmetic number, because the mean of its divisors is an integer number (459596700).

Almost surely, 214220310200 is an apocalyptic number.

14220310200 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 14220310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22060641600).

14220310200 is an abundant number, since it is smaller than the sum of its proper divisors (29900973000).

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

14220310200 is a wasteful number, since it uses less digits than its factorization.

14220310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20621 (or 20612 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 14220310200 its reverse (201302241), we get a palindrome (14421612441).

The spelling of 14220310200 in words is "fourteen billion, two hundred twenty million, three hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1223 2446 3669 4892 6115 7338 9784 12230 14676 18345 19379 24460 29352 30575 36690 38758 48920 58137 61150 73380 77516 91725 96895 116274 122300 146760 155032 183450 193790 232548 244600 290685 366900 387580 465096 484475 581370 733800 775160 968950 1162740 1453425 1937900 2325480 2906850 3875800 5813700 11627400 23700517 47401034 71101551 94802068 118502585 142203102 189604136 237005170 284406204 355507755 474010340 568812408 592512925 711015510 948020680 1185025850 1422031020 1777538775 2370051700 2844062040 3555077550 4740103400 7110155100 14220310200