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14220023100 = 22352433109469
BaseRepresentation
bin11010011111001010…
…00101010100111100
31100201000111000112020
431033211011110330
5213110311214400
610311012240140
71012246126203
oct151745052474
940630430466
1014220023100
116037917908
12290a310050
131458086c6a
1498c7cc23a
155835e52a0
hex34f94553c

14220023100 has 72 divisors (see below), whose sum is σ = 41238662640. Its totient is φ = 3783214080.

The previous prime is 14220023087. The next prime is 14220023107. The reversal of 14220023100 is 132002241.

It is a super-2 number, since 2×142200231002 (a number of 21 digits) contains 22 as substring.

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 14220023100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14220023107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75166 + ... + 184634.

Almost surely, 214220023100 is an apocalyptic number.

14220023100 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 14220023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20619331320).

14220023100 is an abundant number, since it is smaller than the sum of its proper divisors (27018639540).

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

14220023100 is a wasteful number, since it uses less digits than its factorization.

14220023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109919 (or 109912 counting only the distinct ones).

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

Adding to 14220023100 its reverse (132002241), we get a palindrome (14352025341).

The spelling of 14220023100 in words is "fourteen billion, two hundred twenty million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 433 866 1299 1732 2165 2598 4330 5196 6495 8660 10825 12990 21650 25980 32475 43300 64950 109469 129900 218938 328407 437876 547345 656814 1094690 1313628 1642035 2189380 2736725 3284070 5473450 6568140 8210175 10946900 16420350 32840700 47400077 94800154 142200231 189600308 237000385 284400462 474000770 568800924 711001155 948001540 1185001925 1422002310 2370003850 2844004620 3555005775 4740007700 7110011550 14220023100