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2214402103200 = 253527131809649
BaseRepresentation
bin100000001110010100101…
…001101001011110100000
321211200202111020011221010
4200032110221221132200
5242240043414300300
64413140550100520
7315661643212110
oct40162451513640
97750674204833
102214402103200
11784139292311
122b91ba94a740
13130a8158c0b1
147926b5d9040
153c905a11a50
hex20394a697a0

2214402103200 has 144 divisors (see below), whose sum is σ = 8237575886400. Its totient is φ = 506149048320.

The previous prime is 2214402103189. The next prime is 2214402103201. The reversal of 2214402103200 is 23012044122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2214402103201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 65888025 + ... + 65921624.

It is an arithmetic number, because the mean of its divisors is an integer number (57205388100).

Almost surely, 22214402103200 is an apocalyptic number.

2214402103200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214402103200 is an abundant number, since it is smaller than the sum of its proper divisors (6023173783200).

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

2214402103200 is a wasteful number, since it uses less digits than its factorization.

2214402103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131809679 (or 131809666 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2214402103200 its reverse (23012044122), we get a palindrome (2237414147322).

The spelling of 2214402103200 in words is "two trillion, two hundred fourteen billion, four hundred two million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 131809649 263619298 395428947 527238596 659048245 790857894 922667543 1054477192 1318096490 1581715788 1845335086 1977144735 2108954384 2636192980 2768002629 3163431576 3295241225 3690670172 3954289470 4217908768 4613337715 5272385960 5536005258 6326863152 6590482450 7381340344 7908578940 9226675430 9885723675 10544771920 11072010516 12653726304 13180964900 13840013145 14762680688 15817157880 18453350860 19771447350 21089543840 22144021032 23066688575 26361929800 27680026290 29525361376 31634315760 36906701720 39542894700 44288042064 46133377150 52723859600 55360052580 63268631520 69200065725 73813403440 79085789400 88576084128 92266754300 105447719200 110720105160 138400131450 147626806880 158171578800 184533508600 221440210320 276800262900 316343157600 369067017200 442880420640 553600525800 738134034400 1107201051600 2214402103200