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14222410400 = 2552111616183
BaseRepresentation
bin11010011111011100…
…01100001010100000
31100201011222022021202
431033232030022200
5213111414113100
610311135340332
71012305331232
oct151756141240
940634868252
1014222410400
1160391a8490
12290b0816a8
131458711773
1498cc50252
155839177d5
hex34fb8c2a0

14222410400 has 72 divisors (see below), whose sum is σ = 37876888224. Its totient is φ = 5171782400.

The previous prime is 14222410399. The next prime is 14222410429. The reversal of 14222410400 is 401422241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799292 + ... + 816891.

It is an arithmetic number, because the mean of its divisors is an integer number (526067892).

Almost surely, 214222410400 is an apocalyptic number.

14222410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14222410400 is an abundant number, since it is smaller than the sum of its proper divisors (23654477824).

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

14222410400 is a wasteful number, since it uses less digits than its factorization.

14222410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616214 (or 1616201 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14222410400 its reverse (401422241), we get a palindrome (14623832641).

The spelling of 14222410400 in words is "fourteen billion, two hundred twenty-two million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 1616183 3232366 6464732 8080915 12929464 16161830 17778013 25858928 32323660 35556026 40404575 51717856 64647320 71112052 80809150 88890065 129294640 142224104 161618300 177780130 258589280 284448208 323236600 355560260 444450325 568896416 646473200 711120520 888900650 1292946400 1422241040 1777801300 2844482080 3555602600 7111205200 14222410400